Maths-
General
Easy

Question

P is point on either of the two lines y minus square root of 3 vertical line x vertical line equals 2 at a distance of 5 units from their point of intersection. The co-ordinates of the foot of the perpendicular from P on the bisector of the angle between them are :-

  1. open parentheses 0 comma fraction numerator 4 plus 5 square root of 3 over denominator 2 end fraction close parentheses text  or  end text open parentheses 0 comma fraction numerator 4 minus 5 square root of 3 over denominator 2 end fraction close parentheses depending on which the points p is taken    
  2. open parentheses 0 comma fraction numerator 4 plus 5 square root of 3 over denominator 2 end fraction close parentheses    
  3. open parentheses 0 comma fraction numerator 4 minus 5 square root of 3 over denominator 2 end fraction close parentheses    
  4. open parentheses fraction numerator 5 over denominator 2 end fraction comma fraction numerator 5 square root of 3 over denominator 2 end fraction close parentheses    

The correct answer is: open parentheses 0 comma fraction numerator 4 plus 5 square root of 3 over denominator 2 end fraction close parentheses


    Related Questions to study

    General
    Maths-

    alpha comma blank beta are the roots of the equation x squared minus 3 x plus A equals 0 and gamma comma delta are the roots of the equation x squared minus 12 x plus B equals 0. I f alpha comma beta comma gamma comma deltaform an increasing GP, then left parenthesis A comma blank B right parenthesis is equal to

    alpha comma blank beta are the roots of the equation x squared minus 3 x plus A equals 0 and gamma comma delta are the roots of the equation x squared minus 12 x plus B equals 0. I f alpha comma beta comma gamma comma deltaform an increasing GP, then left parenthesis A comma blank B right parenthesis is equal to

    Maths-General
    General
    maths-

    The sum of the series 1 times n plus 1 plus 2 times open parentheses n minus 1 close parentheses plus 3 times open parentheses n minus 2 close parentheses horizontal ellipsis plus n times 1 is

    The sum of the series 1 times n plus 1 plus 2 times open parentheses n minus 1 close parentheses plus 3 times open parentheses n minus 2 close parentheses horizontal ellipsis plus n times 1 is

    maths-General
    General
    maths-

    The sum of the series 1 times 2 times 3 plus 2 times 3 times 4 plus 3 times 4 times 5 plus... to n terms is

    The sum of the series 1 times 2 times 3 plus 2 times 3 times 4 plus 3 times 4 times 5 plus... to n terms is

    maths-General
    parallel
    General
    maths-

    If the sum of an infinite GP and the sum of square of its term is 3, then the common ratio of the first series is

    If the sum of an infinite GP and the sum of square of its term is 3, then the common ratio of the first series is

    maths-General
    General
    Maths-

    If a and b are two different positive real numbers, then which of the following relations is true

    If a and b are two different positive real numbers, then which of the following relations is true

    Maths-General
    General
    maths-

    If A subscript 1 end subscript comma blank A subscript 2 end subscript are two Ablank times M’s between a and b and G subscript 1 end subscript comma blank G subscript 2 end subscript are two GM’s between a and b then fraction numerator A subscript 1 end subscript plus A subscript 2 end subscript over denominator G subscript 1 end subscript G subscript 2 end subscript end fraction is

    If A subscript 1 end subscript comma blank A subscript 2 end subscript are two Ablank times M’s between a and b and G subscript 1 end subscript comma blank G subscript 2 end subscript are two GM’s between a and b then fraction numerator A subscript 1 end subscript plus A subscript 2 end subscript over denominator G subscript 1 end subscript G subscript 2 end subscript end fraction is

    maths-General
    parallel
    General
    maths-

    the sum of n terms of the infinite series 1 times 3 squared plus 2 times 5 squared plus 3 times 7 squared plus... infinity is

    the sum of n terms of the infinite series 1 times 3 squared plus 2 times 5 squared plus 3 times 7 squared plus... infinity is

    maths-General
    General
    maths-

    The value of a to the power of log subscript b end subscript invisible function application x end exponent comma where a equals 0.2 comma blank b equals square root of 5 comma x equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 8 end fraction plus fraction numerator 1 over denominator 16 end fraction plus... infinity comma is

    The value of a to the power of log subscript b end subscript invisible function application x end exponent comma where a equals 0.2 comma blank b equals square root of 5 comma x equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 8 end fraction plus fraction numerator 1 over denominator 16 end fraction plus... infinity comma is

    maths-General
    General
    maths-

    The number 111…1 (91 times) is a/an

    The number 111…1 (91 times) is a/an

    maths-General
    parallel
    General
    maths-

    Number of identical terms in the sequence 2, 5, 8, 11,… upto 100 terms and 3, 5, 7, 9, 11,… upto 100 terms, are

    Number of identical terms in the sequence 2, 5, 8, 11,… upto 100 terms and 3, 5, 7, 9, 11,… upto 100 terms, are

    maths-General
    General
    maths-

    If e to the power of e to the power of x end exponent 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, then

    If e to the power of e to the power of x end exponent 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, then

    maths-General
    General
    maths-

    The sum of series not stretchy sum from n equals 1 to infinity of fraction numerator 2 n over denominator open parentheses 2 n plus 1 close parentheses factorial end fraction is

    The sum of series not stretchy sum from n equals 1 to infinity of fraction numerator 2 n over denominator open parentheses 2 n plus 1 close parentheses factorial end fraction is

    maths-General
    parallel
    General
    maths-

    fraction numerator 1 over denominator 2 end fraction minus fraction numerator 1 over denominator 2.2 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3.2 to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4.2 to the power of 4 end exponent end fraction plus horizontal ellipsis is equal to

    fraction numerator 1 over denominator 2 end fraction minus fraction numerator 1 over denominator 2.2 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3.2 to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4.2 to the power of 4 end exponent end fraction plus horizontal ellipsis is equal to

    maths-General
    General
    maths-

    The sum of the series 1.3 to the power of 2 end exponent plus 2.5 to the power of 2 end exponent plus 3.7 to the power of 2 end exponent plus blank... upto 20 terms is

    The sum of the series 1.3 to the power of 2 end exponent plus 2.5 to the power of 2 end exponent plus 3.7 to the power of 2 end exponent plus blank... upto 20 terms is

    maths-General
    General
    maths-

    The sum of n terms of the series 1 plus open parentheses 1 plus x close parentheses plus open parentheses 1 plus x plus x to the power of 2 end exponent close parentheses plus blank... will be

    The sum of n terms of the series 1 plus open parentheses 1 plus x close parentheses plus open parentheses 1 plus x plus x to the power of 2 end exponent close parentheses plus blank... will be

    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.