The tangent and normal to the ellipse `3x^(2) + 5y^(2) = 32` at the point P(2, 2) meet the x-axis at Q and R, respectively. Then the area (in sq. units) of the triangle PQR is:

The tangent and the normal to the ellipse 4x^(2)+9y^(2)=36 at the point P meets the major axis Q and R respectively.If QR=4 then the eccentric angle of P is given by

The tangent and normal to the ellipse 4x^(2)+9y^(2)=36 at a point P on it meets the major axis in Q and R respectively. If QR = 4, then the eccentric angle of P is

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 :

Assertion (A) If the tangent and normal to the ellipse 9x^(2)+16y^(2)=144 at the point P(pi/3) on it meet the major axis in Q and R respectively, then QR=(57)/(8) . Reason (R) If the tangent and normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))= at the point P(theta) on it meet the major axis in Q and R respectively, then QR=|(a^(2)sin^(2)theta-b^(2)cos^(2)theta)/(a cos theta)| The correct answer is

Area of triangle formed by tangent and normal to ellipse 3x^(2)+5y^(2)=32 at point (2,2) and x-axis is

The tangent and normal to the ellipse x^2+4y^2=4 at a point P(theta) on it meets the major axis in Q and R respectively. If 0 < theta < pi/2 and QR=2 then show that theta=

If the tangent at a point on the ellipse (x^(2))/(27)+(y^(2))/(3)=1 meets the coordinate axes at A and B, and the origin,then the minimum area (in sq.units) of the triangle OAB is:

Let the tangent to the circle x^(2) + y^(2) = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then r^(2) is equal to :

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is