From the point (2, 2) tangent are drawn to the hyperbola `(x^2)/(16)-(y^2)/9=1.` Then the point of contact lies in the (a) first quadrant (b) second quadrant (c) third quadrant (d) fourth quadrant

The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the (a) first quadrant (b) second quadrant (c) third quadrant (d) none of these

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=2. The area cut-off by the chord of contact on the asymptotes is equal to: (a) a/2 (b) a b (c) 2a b (d) 4a b

Statement 1 : If from any point P(x_1, y_1) on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, then the corresponding chord of contact lies on an other branch of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola. (a) Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation for Statement 1. (b) Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Tangents which are parrallel to the line 2x+y+8=0 are drawn to hyperbola x^(2)-y^(2)=3 . The points of contact of these tangents is/are

A ray emerging from the point (5, 0) is incident on the hyperbola 9x^2-16 y^2=144 at the point P with abscissa 8. Find the equation of the reflected ray after the first reflection if point P lies in the first quadrant.

The number of tangents that can be drawn from the point (6, 2) on the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 is

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

Find that the point (-2,7) lie in which quadrant?