The circle x2+y2=4x+8y+5intersects the line 3x4y=mat two distinct points if
A vertical line passing through the point (h,0) intersects the ellipse 4x2+3y2=1 at the points P and Q.Let the tangents to the ellipse at P and Q meet at R. If δ(h) Area of triangle δPQR, and δ121≤h≤1maxδ(h) A further δ221≤h≤1minδ(h) Then 58δ1−8δ2
The locus of the point which divides the double ordinates of the ellipse a2x2+b2y2=1 in the ratio 1:2 internally is a2x2+b29y2=1 (b) a2x2+b29y2=91 a29x2+b29y2=1 (d) none of these
AOB is the positive quadrant of the ellipse a2x2+b2y2=1 in which OA=a,OB=b . Then find the area between the arc AB and the chord AB of the ellipse.
How many real tangents can be drawn from the point (4, 3) to the hyperbola 16x2−9y2=1? Find the equation of these tangents and the angle between them.