Home
Class 12
MATHS
Let a line y=mx(m>0 ) intersect the par...

Let a line `y=mx(m>0 )` intersect the parabola `y^(2) =x` at a point "P" ,"other than the origin .Let the tangent to it at "P" meet the "x" -axis at the point "Q".If area of `Delta OPQ=4` sq.units then "m" is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

Let a line y = mx ( m gt 0) intersect the parabola, y^2 = 4x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If area (Delta OPQ)=8 sq. units, then m is equal to _______ .

If the line x-y-1=0 intersect the parabola y^(2)=8x at P and Q, then find the point on intersection of tangents P and Q.

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

Let the tangent to the parabola S : y^(2) = 2x at the point P(2,-2) meet the x-axis at Q and normal at it meet the parabola S at the point R. Then the area (in sq. units) of the triangle PQR is equal to :

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.

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.

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=

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

Normal at a point P(a,-2a) intersects the parabola y^(2)=4ax at point Q.If the tangents at P and Q meet at point R if the area of triangle PQR is (4a^(2)(1+m^(2))^(3))/(m^(lambda)). Then find lambda