A rod of length l slides with its ends on two perpendicular lines. Then, the locus of its mid point is
None of these
The equation of straight line through the intersection of line 2x +y = 1 and 3x + 2y = 5 and passing through the origin is
7x + 3y = 0
7x - y = 0
3x + 2y = 0
x + y = 0
A.
7x + 3y = 0
Let L1 = 2x + y - 1 = 0
L2 = 3x + 2y - 5 = 0
We know that the equation of straight line passing through the intersection point of the lines L1 and L2 is given by
The line joining (5, 0) to () is divided internally in the ratio 2 : 3 at P. If 0 varies, then the locus of P is
a straight line
a pair of straight lines
a circle
None of the above
The condition that the line lx + my = 1 may be normal to the curve y2 = 4ax, is
al3 - 2alm2 = m2
al2 + 2alm3 = m2
al3 + 2alm2 = m3
al3 + 2alm2 = m2
If the equation of an ellipse is 3x2 + 2y2 + 6x - 8y + 5 = 0, then which of the following are true?
e =
centre is (- 1, 2)
foci are (- 1, 1) are (- 1, 3)
All of the above