is the reflexion of in the line whose equation is . .
My Self Assessment
a) y = x
The set of lines where is concurrent at the point . . .
If a, b, c are in Arithmetic Progression then the straight line will pass through a fixed point whose coordinates are . . . . .
Given the points A (0, 4) and B (0, - 4) the equation of the locus of the point P (x, y) such that |AP – BP| = 6 is . . . . .
If the algebraic sum of the perpendicular distance from the point (2, 0), (0, 2) and (1, 1) to a variable straight line be zero then the line passes through a fixed point whose coordinates are
Two circles and are given. Then the equation of the circle through their points of intersection and the point (1, 1) is
a)
b)
c)
d) None of these
The equation of the circles through (1, 1) and the point of intersection of is
If a circle passes through the points (a, b) and cuts the circle orthogonally, then the equation of the locus of its centre is
d)
If two circles and intersect in two distinct points, then
a) 2 < r < 8
b) r < 2
c) r = 2
d) r > 2
The lines and are diameters of a circle of area 154 square units. Then the equation of the circle is
Find the centre of the circle passing through (0, 0) and (1, 0) and touching the circle .
The locus of the centre of circles which touches externally and which touches the Y-axis is given by the equation
The angle between a pair of tangents drawn from a point P to the circle is 2α. Then the locus of P is
The number of common tangents to the circles and is
a) 0
b) 1
c) 3
d) 4
If two distinct chords drawn from the point (p, q) on the circle (where pq ≠ 0) are bisected by the X-axis then
The triangle PQR is inscribed in the circle. If Q and R have coordinates (3, 4) and (-4, 3) respectively, then the ∠QPR is equal to
If the circles and intersect orthogonally then k is
a) 2 or
b) – 2 or
c) 2 or
d) – 2 or
If the tangent at the point P on the circle meets the straight line at a point Q on the Y-axis, then the length of PˆQ is
a) 4
c) 5
If a > 2b > 0 then the positive value of m for which is a common tangent to and is
The centre of the circle inscribed in the square formed by the lines and
a) (4, 7)
b) (7, 4)
c) (9, 4)
d) (4, 9)
If one of the diameters of the circle is a chord to the circle with centre (2, 1) then the radius of the circle is
d) 2
A circle is given by , another circle C touches it externally and also the X-axis, then the locus of the centre of C is
Tangent to the curve at the point P(1, 7) touches the circle at a point Q then the coordinates of Q are
The equation of the tangents drawn from the origin to the circle are
a) x= 6
b) y = 0