Maths-
General
Easy

Question

PA and PB are tangents to a circle S touching S at points A and B.C is a point on S in between A and B as shown in the figure. LCM is a tangent to S intersecting PA and PB in points L and M respectively.Then the perimeter of the triangle PLM depends on

  1. A,B,C and P    
  2. P but not on C    
  3. P and C only    
  4. the radius of S only    

The correct answer is: P but not on C

Related Questions to study

General
maths-

left parenthesis 1 , 2 square root of 2 right parenthesis is a point on circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 locate the points on the given circle which are at 2 unit distance from left parenthesis 1 , 2 square root of 2 right parenthesis

left parenthesis 1 , 2 square root of 2 right parenthesis is a point on circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 locate the points on the given circle which are at 2 unit distance from left parenthesis 1 , 2 square root of 2 right parenthesis

maths-General
General
maths-

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If Ag = 2, GF = 13, FC = 1 and HJ = 7, then DE equals

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If Ag = 2, GF = 13, FC = 1 and HJ = 7, then DE equals

maths-General
General
maths-

If a line segment AM = a moves in the plane XOY remaining parallel to OX so that the left end point A slides along the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent comma text  the locus of  end text M text  is end text

If a line segment AM = a moves in the plane XOY remaining parallel to OX so that the left end point A slides along the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent comma text  the locus of  end text M text  is end text

maths-General
parallel
General
maths-

The triangle PQR is inscribed in the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 25 text  . end text If Q and R have coordinates (3, 4) and (-4, 3) respectively, then angle Q P R is

The triangle PQR is inscribed in the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 25 text  . end text If Q and R have coordinates (3, 4) and (-4, 3) respectively, then angle Q P R is

maths-General
General
maths-

For all values of m ÎR the line y-mx + m-1 = 0 cuts the circle x to the power of 2 end exponent plus y to the power of 2 end exponent minus 2 x minus 2 y plus 1 equals 0 text end textat an angle

For all values of m ÎR the line y-mx + m-1 = 0 cuts the circle x to the power of 2 end exponent plus y to the power of 2 end exponent minus 2 x minus 2 y plus 1 equals 0 text end textat an angle

maths-General
General
maths-

C subscript 1 end subscript is a circle of radius 1 touching the x -axis and y -axis. text end text C subscript 2 end subscript is another circle of radius greater than 1 and touching the axes as well as circle C subscript 1 end subscript. text  Then the radius of  end text C subscript 2 end subscript text end text text is end text

C subscript 1 end subscript is a circle of radius 1 touching the x -axis and y -axis. text end text C subscript 2 end subscript is another circle of radius greater than 1 and touching the axes as well as circle C subscript 1 end subscript. text  Then the radius of  end text C subscript 2 end subscript text end text text is end text

maths-General
parallel
General
maths-

PA and PB are tangents to a circle S touching S at points A and B.C is a point on S in between A and B as shown in the figure. LCM is a tangent to S intersecting PA and PB in points L and M respectively.Then the perimeter of the triangle PLM depends on

PA and PB are tangents to a circle S touching S at points A and B.C is a point on S in between A and B as shown in the figure. LCM is a tangent to S intersecting PA and PB in points L and M respectively.Then the perimeter of the triangle PLM depends on

maths-General
General
maths-

The centres of two circles are 5 square root of 2 units apart. The circles are orthogonal and their radii are integers not equal to 1. The area of the region, in square units, common to the two circles, is

The centres of two circles are 5 square root of 2 units apart. The circles are orthogonal and their radii are integers not equal to 1. The area of the region, in square units, common to the two circles, is

maths-General
General
maths-

If two chords, each bisected by the x - axis can be drawn to the circle, 2 open parentheses x to the power of 2 end exponent plus y to the power of 2 end exponent close parentheses minus 2 a x minus b y equals 0 left parenthesis a not equal to 0 comma b not equal to 0 right parenthesis text end textfrom the point text end text left parenthesis a comma b divided by 2 right parenthesis text end textthen :

If two chords, each bisected by the x - axis can be drawn to the circle, 2 open parentheses x to the power of 2 end exponent plus y to the power of 2 end exponent close parentheses minus 2 a x minus b y equals 0 left parenthesis a not equal to 0 comma b not equal to 0 right parenthesis text end textfrom the point text end text left parenthesis a comma b divided by 2 right parenthesis text end textthen :

maths-General
parallel
General
maths-

The radius of the least circle passing through the point (8, 4) and cutting the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 40 orthogonally is

The radius of the least circle passing through the point (8, 4) and cutting the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 40 orthogonally is

maths-General
General
maths-

P(3,2) is a point on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 13 Two points A, B are on the circle such that P A equals P B equals square root of 5 The equation of chord AB is

P(3,2) is a point on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 13 Two points A, B are on the circle such that P A equals P B equals square root of 5 The equation of chord AB is

maths-General
General
maths-

Statement – 1: Two circles of radii square root of 3 & 1 cut orthogonally then area of common region is fraction numerator 5 pi minus 6 square root of 3 over denominator 6 end fraction square unit.
Statement -2: Area text end text left parenthesis A union B right parenthesis equals text  AreaA  end text plus text  Area  end text left parenthesis B right parenthesis minus text  Area  end text left parenthesis A intersection B right parenthesis, where A & B represents two regions

Statement – 1: Two circles of radii square root of 3 & 1 cut orthogonally then area of common region is fraction numerator 5 pi minus 6 square root of 3 over denominator 6 end fraction square unit.
Statement -2: Area text end text left parenthesis A union B right parenthesis equals text  AreaA  end text plus text  Area  end text left parenthesis B right parenthesis minus text  Area  end text left parenthesis A intersection B right parenthesis, where A & B represents two regions

maths-General
parallel
General
maths-

Statement (I) : 27, 8 and 12 can be three terms of G.P. as well as an A.P
Statement (II) : Three non-zero real numbers can always be three terms of an A.P

Statement (I) : 27, 8 and 12 can be three terms of G.P. as well as an A.P
Statement (II) : Three non-zero real numbers can always be three terms of an A.P

maths-General
General
maths-

The value of blank to the power of n end exponent C subscript 1 end subscript minus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction close parentheses blank to the power of n end exponent C subscript 2 end subscript plus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction close parentheses blank to the power of n end exponent C subscript 3 end subscript minus horizontal ellipsis horizontal ellipsis horizontal ellipsis. plus left parenthesis negative 1 right parenthesis to the power of n minus 1 end exponent open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction plus horizontal ellipsis horizontal ellipsis horizontal ellipsis times fraction numerator 1 over denominator n end fraction close parentheses blank to the power of n end exponent C subscript n end subscript text  is end text

The value of blank to the power of n end exponent C subscript 1 end subscript minus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction close parentheses blank to the power of n end exponent C subscript 2 end subscript plus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction close parentheses blank to the power of n end exponent C subscript 3 end subscript minus horizontal ellipsis horizontal ellipsis horizontal ellipsis. plus left parenthesis negative 1 right parenthesis to the power of n minus 1 end exponent open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction plus horizontal ellipsis horizontal ellipsis horizontal ellipsis times fraction numerator 1 over denominator n end fraction close parentheses blank to the power of n end exponent C subscript n end subscript text  is end text

maths-General
General
maths-

If text end text open parentheses 1 plus x plus x to the power of 2 end exponent close parentheses to the power of n end exponent equals a subscript 0 end subscript plus a subscript 1 end subscript x plus a subscript 2 end subscript x to the power of 2 end exponent plus horizontal ellipsis plus a subscript 2 n end subscript x to the power of 2 n end exponent comma text  then  end text a subscript 0 end subscript a subscript 1 end subscript minus a subscript 1 end subscript a subscript 2 end subscript plus a subscript 2 end subscript a subscript 3 end subscript minus a subscript 3 end subscript a subscript 4 end subscript plus horizontal ellipsis is equal to

If text end text open parentheses 1 plus x plus x to the power of 2 end exponent close parentheses to the power of n end exponent equals a subscript 0 end subscript plus a subscript 1 end subscript x plus a subscript 2 end subscript x to the power of 2 end exponent plus horizontal ellipsis plus a subscript 2 n end subscript x to the power of 2 n end exponent comma text  then  end text a subscript 0 end subscript a subscript 1 end subscript minus a subscript 1 end subscript a subscript 2 end subscript plus a subscript 2 end subscript a subscript 3 end subscript minus a subscript 3 end subscript a subscript 4 end subscript plus horizontal ellipsis is equal to

maths-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.