Home
Class 12
MATHS
Tangent are drawn from the point (-1,2) ...

Tangent are drawn from the point `(-1,2)` on the parabola `y^2=4x` . Find the length that these tangents will intercept on the line `x=2.`

Text Solution

AI Generated Solution

To solve the problem of finding the length that the tangents from the point (-1, 2) on the parabola \( y^2 = 4x \) will intercept on the line \( x = 2 \), we can follow these steps: ### Step 1: Write the equation of the parabola and the point The equation of the parabola is given as: \[ y^2 = 4x \] The point from which the tangents are drawn is: ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.53|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.54|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.51|1 Videos
  • PAIR OF STRAIGHT LINES

    CENGAGE ENGLISH|Exercise Numberical Value Type|5 Videos
  • PERMUTATION AND COMBINATION

    CENGAGE ENGLISH|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

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

Tangents are drawn from the point (4, 2) to the curve x^(2)+9y^(2)=9 , the tangent of angle between the tangents :

The angle between the tangents drawn from the point (4, 1) to the parabola x^(2)=4y is

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

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=2/9beta^2dot

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=2/9beta^2 .