The locus of the points of intersection of perpendicular tangents to is
x2 + y2 = a2 + b2
x2 - y2 = a2 - b2
x2 + y2 = a2 - b2
x2 - y2 = a2 + b2
The equation represents
an ellipse
a parabola
a hyperbola
a circle
The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent
The sum of distance of any point on the ellipse 3x2 + 4y2 = 24 from its foci is.
8 √2
4 √2
16 √2
None of these
The eccentricity of the conic 3x2 + 4y2 = 24 is
1/4
7/4
1/2
The equation ax2 + 2 hxy + by2 + 2 gx + 2 fy + c = 0 represents an ellipse if
Δ =0, h2 < ab
Δ ≠ 0, h2 < ab
Δ ≠ 0, h2 > ab
Δ ≠ 0, h2 = ab
Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
The latus rectum of the ellipse 5x2 + 9y2 = 45 is
10/3
5/3
5√5/3
10√5/3
If e ane e1 are the eccentricities of the hyperbolas xy = c2 and x2 - y2 = c2 , then e2 + e2 is equal to
1
4
6
8
If m is a variable , the locus of the point of intersection of the lines and is
