If the line 3x - 2y + 6 = 0 meets X-axis and Y-axis, respectively at A and B, then the equation of the circle with radius AB and centre at A is
x2 + y2 + 4x + 9 = 0
x2 + y2 + 4x - 9 = 0
x2 + y2 + 4x + 4 = 0
x2 + y2 + 4x - 4 = 0
A line l meets the circle x2 + y2 = 61 in A, B and P(- 5, 6) is such that PA = PB = 10. Then,the equation of l is
5x + 6y + 11 = 0
5x - 6y - 11 = 0
5x - 6y + 11 = 0
5x - 6y + 11 = 0
If (1, a), (b, 2) are conjugate points with respect to the circle x2 + y2 = 25, then 4a + 2b is equal to
25
50
100
150
The polar equation represents a
circle
parabola
straight line
hyperbola
C.
straight line
If x - y + 1 = 0 meets the circlex2 + y2 + y - 1 = 0 at A and B, then the equation of the circle with AB as diameter is
2(x2 + y2) + 3x - y + 1 = 0
2 (x2 + y2) + 3x - y + 2 = 0
2(x2 + y2) + 3x - y + 3 = 0
x2 + y2 + 3x - y + 1 = 0
If y = 3x is a tangent to a circle with centre (1, 1), then the other tangent drawn through (0, 0) to the circle is
3y = x
y = - 3x
y = 2x
y = - 2x
Let O be the origin and A be a point on the curve y = 4x. Then the locus of the mid point of OA is :
x2 = 4y
x2 = 2y
y2 = 16x
y2 = 2x