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Class XI Maths Circles 4

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Question 1

The equation of the tangent to the curve, that is parallel to the x-axis is

Question 2

The equation of a circle is x2 + y2 = 4. The centre of the smallest circle touching this circle and the line x + y = 5√2 has the coordinates

Question 3

α, β and γ are the parametric angles of three points P, Q and R respectively on the circle x2 + y2 = 1 and A is the point (–1, 0). If the lengths of the chords AP, AQ and AR are in G.P., then cos , cos and cos are in - (where α, β, γ (0, π))
A.

Question 4

C has two values C1 and C2 for which y = 2x + C touches a circle x2 + y2 – 4x –4y – 5 = 0 then C1 + C2 is equal to-

Question 5

For what number of real values of l line lx + y/l + 1 = 0 touches circle x2 + y2 – 2x – 2y + 1 = 0

Question 6

If the chord of contact of the pair of tangents from P to the circle x2 + y2 = a2 which touches the circle x2 + y2 – 2ax = 0, then the locus of P is -

Question 7

The lengths of the tangents from any point on the circle 15x2 + 15y2 – 48x + 64y = 0 to the two circles 5x2 + 5y2 – 24x + 32y + 75 = 0 and 5x2 + 5y2 – 48x + 64y + 300 = 0 are in the ratio

Question 8

If circle x2 + y2 + 2ax + 2by + 5 = 0 subtends angle 60 º at origin then (a, b) lies on circle whose radius is equal to -
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