A straight line through the point A (3, 4) is such that its intercept between the axes is bisected at A. Its equation is
3x - 4y + 7 = 0
4x + 3y = 24
3x + 4y = 25
x + y = 7
The tangent at (1, 7) to the curve x2 = y - 6 touches the circle x2 + y2 + 16x + 12y + c = 0 at
(6, 7)
(- 6, 7)
(6, - 7)
(- 6, - 7)
The equation of straight line through the intersection of the lines x - 2y = 1 and x + 3y = 2 and parallel to 3x + 4y = 0 is
3x + 4y + 5 = 0
3x + 4y - 10 = 0
3x + 4y - 5 = 0
3x + 4y + 6 = 0
The eccentricity of the ellipse, which meets the straight line on the axis of x and the staraight line on the axis of y and whose axes lie along the axes of coordinate, is
None of the above
If and x2 - y2 = c2 cut at right angles, then
a2 + b2 = 2c2
b2 - a2 = 2c2
a2 - b2 = 2c2
a2b2 = 2c2
The equation of the conic with focus at (1, - 1) directrix along x - y + 1 = 0 and with eccentricity , is
x2 - y2 = 1
xy = 1
2xy - 4x + 4y + 1 = 0
2xy + 4x - 4y - 1 = 0
There are 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is
119
44
59
40
The coefficient of xn in the expansion of is
B.