Home
Class 12
MATHS
Find the angle between the tangents draw...

Find the angle between the tangents drawn to `y^2=4x ,` where it is intersected by the line `y=x-1.`

Text Solution

Verified by Experts

The correct Answer is:
`90^(@)`
The line y=x-1 passes through (1,0). That means it is a focal chord. Henec, the required angle is `90^(@)`.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise Concept Applications Exercise 5.6|8 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise Concept Applications Exercise 5.7|9 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise Concept Applications Exercise 5.4|13 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

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a= 0 is

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

The angle between tangents to the parabola y^2=4ax at the points where it intersects with teine x-y-a = 0 is (a> 0)

Find the angle between the tangents drawn from the origin to the parabolas y^2=4a(x-a)

Find the point of intersection of the tangents drawn to the curve x^2y=1-y at the points where it is intersected by the curve x y=1-ydot

Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the point where it is cut by the line, y =2x +c , is (pi)/(2) , then :

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

Find the angle between two tangents drawn from the point ( 1,4) to the parabola y^(2) = 12x