Home
Class 12
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 point P and Q. Let the tangents to the ellipse at P and Q meet at the point R.
If `Delta(h)= " Area of the "DeltaPQR, Delta_(1)(h)=underset(1//2lehle1)max Delta(h)`
and `Delta_(2)(h)=underset(1//2lehle1)minDelta(h), then(8)/(sqrt5)Delta_(1)-8Delta_(2)=`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 delta PQR, and delta_(1)max_((1)/(2)<=h<=1)delta(h) A further delta_(2)min_((1)/(2)<=h<=1)delta(h) Then (8)/(sqrt(5))delta_(1)-8 delta_(2)

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) and Delta_2 = min_(1/2<=h<=1) Delta (h) Then 8/sqrt5 Delta_1-8Delta_2

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) and Delta_2 = min_(1/2<=h<=1) Delta (h) Then 8/sqrt5 Delta_1-8Delta_2

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

Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) = 9 at the points P , Q , R . The area of the triangle PQR is _

The straight line (x)/(4)+(y)/(3)=1 intersects the ellipse (x^(2))/(16)+(y^(2))/(9)=1 at two points A and B there is a point P on this ellipse such that the area of Delta PAB is equal to 6(sqrt(2)-1) .Then the number of such point (P) is/are

The line x+2y=1 cuts the ellipse x^(2)+4y^(2)=1 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find point C.

The line x+2y=1 cuts the ellipse x^(2)+4y^(2)=1 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find point C.