Home
Class 12
MATHS
If the line y = 3x + 1, touches the para...

If the line y = 3x + 1, touches the parabola ` y^(2) = 4ax` , find the length of the latus rectum ?

Text Solution

Verified by Experts

The correct Answer is:
12 units
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 3 marks)|10 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 5 marks )|5 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the incorrect statement : )|4 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

If the line x+y=a touches the parabola y=x-x^2, then find the value of adot

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

The latus rectum of the parabola y^2 = 11x is of length

Find the area of the triangle found by the lines joining the vertex of the parabola x^(2) -36y to the ends of the latus rectum.

If the line k^(2)(x-1)+k(y-2)+1=0 touches the parabola y^(2)-4x-4y+8=0 , then k can be

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.

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=-16y

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=-9y