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Class XI Maths Circles 3
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Question 1
If one of the diameters of the circle, given by the equation, x2 + y2 – 4x + 6y – 12 = 0, is a chord of a circle S, whose centre is at (–3, 2), then the radius of S is:
Question 2
Let C be the circle with center (0, 0) and radius 3 units. The equation of the locus of the midpoints of the chords of the circle C that subtend an angle of 2π/3 at its center is
Question 3
If θ is the angle subtended by the circle S = x2 + y2 + 2gx + 2fy + c = 0 at a point (x1, y1) outside the circle and 
then cos θ = ?
then cos θ = ?Question 4
A variable circle always touches the line y = x and passes through the point (0, 0), the common chords of above circle and x2 + y2 + 6x + 8y – 7 = 0 will pass through fixed point, whose coordinates are
Question 5
AB is a diameter of a circle of radius r. P is any point on the circle such that AP makes an angle 300 with AB. At A and P tangents are drawn to meet at a point C. A tangent to the circle at point T is drawn in the portion AP parallel to chord AP. It intersect AC and PC at R and S then length of RS is
Question 6
If the line 3x + 4y = m touches the circle x2 + y2 = 10x, then m is equal to -
Question 7
The value of p so that the straight line x cos α + y sin α – p = 0 may touch the circle x2 + y2 – 2ax cos α – 2by sin α – a2 sin2 α = 0 is -
Question 8
The length of the tangent drawn from any point on the circle x2 + y2 + 2gx + 2fy + α= 0 to the circle x2 + y2 + 2gx + 2fy + β= 0 is
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Feb 12JEE & BITSAT
