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
B.
44
Required numbers