Home
Class 12
MATHS
Two tangent are drawn from the point (-2...

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`

Text Solution

Verified by Experts

Here a=1. Any tangent having slope m is `y=mx+(1)/(m)`
It passes through (-2,-1). Therefore,
`2m^(2)-m-1=0`
`orm=1,-(1)/(2)`
So, `tanalpha=(1+(1//2))/(1-(1//2))=3`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE|Exercise Exercise 5.1|11 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise 5.2|17 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

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.

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

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

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

How many real tangents can be drawn from the point (4, 3) to the hyperbola (x^2)/(16)-(y^2)/9=1? Find the equation of these tangents and the angle between them.

Find the equation of the tangents from the point (2,-3) to the parabola y^(2)=4x

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .