Sum of slopes of common tangent to y=4x2−3x+10 and y=2−4x2 is
Find the equation of the parabola that satisfies the following conditions: Vertex (0,0) passing through (2,3) and axis is along x-axis
If from a point P, tangents PQandPR are drawn to the ellipse 2x2+y2=1 so that the equation of QR is x+3y=1, then find the coordinates of P˙
Find the slope of a common tangent to the ellipse a2x2+b2y2=1 and a concentric circle of radius r˙
Prove that the area bounded by the circle x2+y2=a2 and the ellipse a2x2+b2y2=1 is equal to the area of another ellipse having semi-axis a−b and b,a>b .
The point of intersection of the tangents at the point P on the ellipse a2x2+b2y2=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=ea (b) x=0 (c) y=0 (d) none of these
Find the equation of the parabola that satisfies the following conditions: Focus (0,−3); directrix y=3