Maths-
General
Easy

Question

In an equilateral triangle the in-radius and the circum-radius are connected by -

  1. r = 4R  
  2. r =fraction numerator R over denominator 2 end fraction  
  3. r =fraction numerator R over denominator 3 end fraction  
  4. None of these  

The correct answer is: r =fraction numerator R over denominator 2 end fraction

Related Questions to study

General
Maths-

If the sides of a triangle are 3 : 7 : 8 then R : r =

If the sides of a triangle are 3 : 7 : 8 then R : r =

Maths-General
General
Maths-

In a triangle ABC,fraction numerator a cos invisible function application A plus b cos invisible function application B plus c cos invisible function application C over denominator a plus b plus c end fraction is equal to -

In a triangle ABC,fraction numerator a cos invisible function application A plus b cos invisible function application B plus c cos invisible function application C over denominator a plus b plus c end fraction is equal to -

Maths-General
General
Maths-

In a ABC, 2R2 sinA sinB sinC =

In a ABC, 2R2 sinA sinB sinC =

Maths-General
parallel
General
Maths-

If 8R2 = a2 + b2 + c2, then the  is -

If 8R2 = a2 + b2 + c2, then the  is -

Maths-General
General
Maths-

In an equilateral triangle of side 2 square root of 3 cms. The circum radius is -

In an equilateral triangle of side 2 square root of 3 cms. The circum radius is -

Maths-General
General
Maths-

If the lengths of the sides of a triangle are 3, 4 and 5 units then R the circum radius is -

If the lengths of the sides of a triangle are 3, 4 and 5 units then R the circum radius is -

Maths-General
parallel
General
Maths-

The sides of a triangle are 22 cm, 28 cm and 36 cm. So the area of the circumscrisbed circle is-

The sides of a triangle are 22 cm, 28 cm and 36 cm. So the area of the circumscrisbed circle is-

Maths-General
General
Maths-

Statement-1 (A) : If stack a with rightwards arrow on top,stack b with rightwards arrow on top,stack c with rightwards arrow on topare unit coplanar vectors then [2stack a with rightwards arrow on topstack b with rightwards arrow on top 2stack b with rightwards arrow on topstack c with rightwards arrow on topstack a with rightwards arrow on top] = 0
Statement-2 (R) : [stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top] = 0

Statement-1 (A) : If stack a with rightwards arrow on top,stack b with rightwards arrow on top,stack c with rightwards arrow on topare unit coplanar vectors then [2stack a with rightwards arrow on topstack b with rightwards arrow on top 2stack b with rightwards arrow on topstack c with rightwards arrow on topstack a with rightwards arrow on top] = 0
Statement-2 (R) : [stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top] = 0

Maths-General
General
Maths-

Statement-1 (A) : If stack a with rightwards arrow on top,stack b with rightwards arrow on top,stack c with rightwards arrow on top are non coplanar vectors then vectors 2stack a with rightwards arrow on topstack b with rightwards arrow on top+3stack c with rightwards arrow on top,stack a with rightwards arrow on top+stack b with rightwards arrow on top–2stack c with rightwards arrow on top, stack a with rightwards arrow on top+stack b with rightwards arrow on top– 3stack c with rightwards arrow on top are also non coplanar.
Statement-2 (R) : Three vector Error converting from MathML to accessible text., Error converting from MathML to accessible text., Error converting from MathML to accessible text. are non coplanar then [Error converting from MathML to accessible text., Error converting from MathML to accessible text., Error converting from MathML to accessible text.]  0

Statement-1 (A) : If stack a with rightwards arrow on top,stack b with rightwards arrow on top,stack c with rightwards arrow on top are non coplanar vectors then vectors 2stack a with rightwards arrow on topstack b with rightwards arrow on top+3stack c with rightwards arrow on top,stack a with rightwards arrow on top+stack b with rightwards arrow on top–2stack c with rightwards arrow on top, stack a with rightwards arrow on top+stack b with rightwards arrow on top– 3stack c with rightwards arrow on top are also non coplanar.
Statement-2 (R) : Three vector Error converting from MathML to accessible text., Error converting from MathML to accessible text., Error converting from MathML to accessible text. are non coplanar then [Error converting from MathML to accessible text., Error converting from MathML to accessible text., Error converting from MathML to accessible text.]  0

Maths-General
parallel
General
Maths-

Statement-1 (A) : Three vectorstack a with rightwards arrow on top, stack b with rightwards arrow on top, stack c with rightwards arrow on top are non coplanar then stack a with rightwards arrow on top+stack b with rightwards arrow on top, stack b with rightwards arrow on top+stack c with rightwards arrow on top,stack c with rightwards arrow on top + stack a with rightwards arrow on top are also non coplanar.
Statement-2 (R) :[stack a with rightwards arrow on top+stack b with rightwards arrow on top,stack b with rightwards arrow on top+stack c with rightwards arrow on top,stack c with rightwards arrow on top+stack a with rightwards arrow on top]=[stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top]

Statement-1 (A) : Three vectorstack a with rightwards arrow on top, stack b with rightwards arrow on top, stack c with rightwards arrow on top are non coplanar then stack a with rightwards arrow on top+stack b with rightwards arrow on top, stack b with rightwards arrow on top+stack c with rightwards arrow on top,stack c with rightwards arrow on top + stack a with rightwards arrow on top are also non coplanar.
Statement-2 (R) :[stack a with rightwards arrow on top+stack b with rightwards arrow on top,stack b with rightwards arrow on top+stack c with rightwards arrow on top,stack c with rightwards arrow on top+stack a with rightwards arrow on top]=[stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top]

Maths-General
General
Maths-

Statement-1 (A) :Vectors –2stack i with hat on top+stack j with hat on top+stack k with hat on top, stack i with hat on top–2stack j with hat on top+stack k with hat on top &stack i with hat on top+stack j with hat on top–2stack k with hat on top are coplanar for only two values of .
Statement-2 (R) : Three vector stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top are coplanar if stack a with rightwards arrow on top. (stack b with rightwards arrow on top×stack c with rightwards arrow on top) = 0.

Statement-1 (A) :Vectors –2stack i with hat on top+stack j with hat on top+stack k with hat on top, stack i with hat on top–2stack j with hat on top+stack k with hat on top &stack i with hat on top+stack j with hat on top–2stack k with hat on top are coplanar for only two values of .
Statement-2 (R) : Three vector stack a with rightwards arrow on top,stack b with rightwards arrow on top, stack c with rightwards arrow on top are coplanar if stack a with rightwards arrow on top. (stack b with rightwards arrow on top×stack c with rightwards arrow on top) = 0.

Maths-General
General
Maths-

A vector has components P and 1 with respect to a rectangular Cartesian system. If the axes are rotated through an angle  about the origin in the anticlockwise sense.
Statement-1 : If the vector has component P + 2 and 1 with respect to the new system then P = –1
Statement-2 : Magnitude of vector original and new system remains same.

A vector has components P and 1 with respect to a rectangular Cartesian system. If the axes are rotated through an angle  about the origin in the anticlockwise sense.
Statement-1 : If the vector has component P + 2 and 1 with respect to the new system then P = –1
Statement-2 : Magnitude of vector original and new system remains same.

Maths-General
parallel
General
Maths-

Statement I : If three points P, Q, R have position vectorsstack a with rightwards arrow on top comma stack b with rightwards arrow on top comma stack c with rightwards arrow on toprespectively and2 stack a with rightwards arrow on top plus 3 stack b with rightwards arrow on top – 5 stack c with rightwards arrow on top equals 0, then the points P, Q, R must be collinear.
Statement II : If for three points A, B, C, ; Error converting from MathML to accessible text., then the points A, B, C must be collinear.

Statement I : If three points P, Q, R have position vectorsstack a with rightwards arrow on top comma stack b with rightwards arrow on top comma stack c with rightwards arrow on toprespectively and2 stack a with rightwards arrow on top plus 3 stack b with rightwards arrow on top – 5 stack c with rightwards arrow on top equals 0, then the points P, Q, R must be collinear.
Statement II : If for three points A, B, C, ; Error converting from MathML to accessible text., then the points A, B, C must be collinear.

Maths-General
General
Maths-

A vector has components p and 1 with respect to a rectangular Cartesian system. If the axes are rotated through an angle  about the origin in the anticlockwise sense.
Statement I : If the vector has component p + 2 and 1 with respect to the new system then p = –1
Statement II : Magnitude of vector with original
and new system remains same

A vector has components p and 1 with respect to a rectangular Cartesian system. If the axes are rotated through an angle  about the origin in the anticlockwise sense.
Statement I : If the vector has component p + 2 and 1 with respect to the new system then p = –1
Statement II : Magnitude of vector with original
and new system remains same
Maths-General

General
Maths-

Assertion: The point of intersection of the lines
Reason : Skew lines do not intersect.

Assertion: The point of intersection of the lines
Reason : Skew lines do not intersect.

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.