Home
Class 11
MATHS
Let P be the parabola having equation y=...

Let P`` be the parabola having equation `y=x^(2)-99x+100` .The line `y=x` intersects `P` at `A` and `B` and the line `y=2x` intersects `P` at `C` and `D` .The left arc `CA` and the right arc `BD` of the parabola sandwiched between the two rays are projected on `x` axis. The difference of lengths of the right arc projection and the left arc projection is

Promotional Banner

Similar Questions

Explore conceptually related problems

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

A particle moves along the parabola y^2=2ax in such a way that its projection on y-axis has a constant velocity. Show that its projection on the x-axis moves with constant acceleration

The line x-y=1 intersects the parabola y^2=4x at A and B . Normals at Aa n dB intersect at Cdot If D is the point at which line C D is normal to the parabola, then the coordinates of D are (4,-4) (b) (4,4) (-4,-4) (d) none of these

The parabola y^2=4x and the circle having its center at 6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

The parabola y^2=4x and the circle having its center at 6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

Let the line y = mx intersects the curve y^2 = x at P and tangent to y^2 = x at P intersects x-axis at Q. If area ( triangle OPQ) = 4, find m (m gt 0) .

Let the line y = mx intersects the curve y^2 = x at P and tangent to y^2 = x at P intersects x-axis at Q. If area ( triangle OPQ) = 4, find m (m gt 0) .

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

Consider the parabola whose equation is y = x^2 - 4x and the line y = 2x - b . Then whichfollowing is/are correct ?

The parabola y^2=4x and the circle having its center at (6, 5) intersect at right angle. Then find the possible points of intersection of these curves.