Home
Class 12
MATHS
If two of the three feet of normals draw...

If two of the three feet of normals drawn from a point to the parabola `y^2=4x` are (1, 2) and `(1,-2),` then find the third foot.

A

A. (2,2)

B

B. (2,-2)

C

C. (0,0)

D

D. None of these

Text Solution

Verified by Experts

The sum of the ordinates of the feet is `y_(1)+y_(2)+y_(3)=0`.
Therefore,
`2+(-2)+y_(3)=0`
`or" "y_(3)=0`
So, the third foot is (0,0).
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.82|1 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.83|1 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.80|1 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise Numberical Value Type|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

If three normals are drawn from the point (c, 0) to the parabola y^(2)= x , then-

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

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

From a point (d, 0) three normals are drawn to the parabola y^(2)=x , then

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

Find the point where the line x+y=6 is a normal to the parabola y^2=8x .

Three normals are drawn from the point (7, 14) to the parabola x^2-8x-16 y=0 . Find the coordinates of the feet of the normals.

If y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

If normals drawn at three different point on the parabola y^(2)=4ax pass through the point (h,k), then show that hgt2a .