Home
Class 11
MATHS
Let P(4,-4) and Q(9,6) be two points on ...

Let `P(4,-4)` and `Q(9,6)` be two points on the parabola, `y^2=4x` and let X be any point on the are POQ of this parabola, where O is the vertex of this parabola, such that the area of `Delta PXQ` is maximum. Then this maximum area (in square units) is `(25k)/(4)`. The value of k is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of DeltaACB is maximum. Then the area (in sq. units) of DeltaACB is :

Let (a,b) be a point on the parabola y=4x-x^(2) and is the point nearest to the point A(-1,4) Find (a+b).

Consider the parabola y^(2)=4x .A=(4,-4) and B=(9,6) "be two fixed point on the parabola"." Let 'C' be a moving point on the parabola between "A" and "B" such that the area of the triangle ABC is maximum then the co-ordinate of 'C' is

Let P and Q be the points on the parabola y^(2)=4x so that the line segment PQ subtends right angle If PQ intersects the axis of the parabola at R, then the distance of the vertex from R is

Find the point on the parabola y^(2)=4ax(a>0) which forms a triangle of area 3a^(2) with the vertex and focus of the parabola.

If tangent at P and Q to the parabola y^(2)=4ax intersect at R then prove that mid point the parabola,where M is the mid point of P and Q.