The chord `P Q` of the rectangular hyperbola `x y=a^2` meets the axis of `x` at `A ; C` is the midpoint of `P Q ;` and `O` is the origin. Then `DeltaACO` is equilateral (b) isosceles right-angled (d) right isosceles

The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x at A ; C is the midpoint of P Q ; and O is the origin. Then A C O is equilateral (b) isosceles right-angled (d) right isosceles

Tangents at P to rectangular hyperbola xy=2 meets coordinate axes at A and B, then area of triangle OAB (where O is origin) is _____.

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

If the normal at P to the rectangular hyperbola x^2-y^2=4 meets the axes at G and ga n dC is the center of the hyperbola, then (a) P G=P C (b) Pg=P C (c) P G=Pg (d) Gg=2P C

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Q and R , then find the midpoint of chord Q Rdot

The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilateral (b) Isosceles (c)Right angle (d) Scalene

If a vertex, the circumcenter, and the centroid of a triangle are (0, 0), (3,4), and (6, 8), respectively, then the triangle must be (a) a right-angled triangle (b) an equilateral triangle (c) an isosceles triangle (d) a right-angled isosceles triangle

Delta PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

In triangle A B C ,R(b+c)=asqrt(b c),w h e r eR is the circumradius of the triangle. Then the triangle is a)isosceles but not right b)right but not isosceles c)right isosceles d)equilateral

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angle (b) equilateral (c) isosceles (d) none of these