Home
Class 12
MATHS
If two tangents drawn from the point (a...

If two tangents drawn from the point `(a,b)` to the parabola `y^2=4x` be such that the slope of one tangent is 3 times of the other then

A

`y^(2)=9/2ax`

B

`y^(2)=9/4ax`

C

`y^(2)=9ax`

D

`x^(2)=4ay`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - I|28 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn from the point (a,b) to the parabola y^(2)=4x be such that the slope of one tangent is 3 xx of the other then

If two tan two tangents drawn from the point (a,b) to the parabola y 4x be such that the slope of one tangent is 3 xx of the other then

Knowledge Check

  • If two tangents drawn from the point P (h,k) to the parabola y^2=8x are such that the slope of one of the tangent is 3 times the slope of the other , then the locus of point P is

    A
    `3y^2=16x`
    B
    `3y^2=8x`
    C
    `y^2=32x`
    D
    `3y^2=32x`
  • Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4x is

    A
    `pi/6`
    B
    `pi/4`
    C
    `pi/3`
    D
    `pi/2`
  • Tangents are drawn from the point P to the parabola y^2=8x such that slope of one tangent is twice the slope of the other. The locus of Pis

    A
    line
    B
    circle
    C
    parabola
    D
    ellipse .
  • Similar Questions

    Explore conceptually related problems

    If two tangents drawn from the point (alpha,beta) to the parabola y^(2)=4x are such that the slope of one tangent is double of the other,then prove that alpha=(2)/(9)beta^(2).

    If two tangents drawn from (a ,b) to the parabola y^(2)=4x are such that slope of one of the tangent is double the other then (9a)/(b^(2)) is

    Find the locus of point P, if two tangents are drawn from it to the parabola y ^(2) = 4x such that the slope of one tangent is three times the slope of other.

    If two tangents drawn from a point P to the parabola y^2=4x are at right angles, then the locus of P is

    The slope of tangents drawn from a point (4,10) to the parabola y^2=9x , are