What is the radius of the circle passing through the point (2, 4) and having centre at the intersection of the lines x - y = 4 and 2x + 3y + 70 = 0 ?
3 units
5 units
3 units
5
If the ellipse 9x2 + 16y2 = 144 intercepts the line 3x + 4y = 12, then what is the length of the chord so formed ?
5 units
6 units
8 units
10 units
What is the curve which passes through the point (1, 1) and whose slope is ?
Circle
Parabola
Ellipse
Hyperbola
Consider the parabola y = x2 + 7x + 2 and the straight liney = 3x - 3.
What are the coordinates of the point on the parabola which is closest to the straight line ?
(0, 2)
( - 2, - 8)
( - 7, 2)
(1, 10)
Consider the parabola y = x2 + 7x + 2 and the straight liney = 3x - 3.
What is the shortest distance from the above point on the parabola to the line ?
If the angle between the lines joining the end points of minor axis of the ellipse with one of its foci is , then what is the eccentricity of the ellipse ?
B.
In the parabola, y2 = x, what is the length of the chord passing through the vertex and inclined to the x-axis at an angle θ ?
sin(θ) . sec2(θ)
cos(θ) . cosec2(θ)
cot(θ) . sec2(θ)
2tan(θ) . cosec2(θ)
Let P(x, y) be any point on theellipse 25x2 + 16y2 = 400. If Q(0, 3) and R(0, - 3) are two points, then what is (PQ + PR)
12
10
8
6