Home
Class 11
MATHS
A vertical line passing through the poin...

A vertical line passing through the point `(h, 0)` intersects the ellipse `x^2/4+y^2/3=1` at the points `P` and `Q`.Let the tangents to the ellipse at P and Q meet at `R`. If `delta (h)` Area of triangle `deltaPQR`, and `delta_1 max_(1/2<=h<=1)delta(h)` A further `delta_2 min_(1/2<=h<=1) delta (h)` Then `8/sqrt5 delta_1-8delta_2`

Promotional Banner

Similar Questions

Explore conceptually related problems

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

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) then the area (in sq units) of triangle PTQ is

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.Prove that the tangents at P and Q of the ellipse x^2+2y^2=6 are right angle.

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

If the normal to the ellipse 3x^(2)+4y^(2)=12 at a point P on it is parallel to the line , 2x+y=4 and the tangent to the ellipse at P passes through Q (4,4) then Pq is equal to

Find k if the line passing through points P(-12,-3) and Q(4,k) has slope 1/2 .

A tangent is drawn to the ellipse to cut the ellipse x^2/a^2+y^2/b^2=1 and to cut the ellipse x^2/c^2+y^2/d^2=1 at the points P and Q. If the tangents are at right angles, then the value of (a^2/c^2)+(b^2/d^2) is

A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=1 intersects the major and minor axes at points Aa n dB , respectively. If C is the center of the ellipse, then find area of triangle A B Cdot

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is

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.