The circles x^2+y^2+x+y=0and x^2+y^2+x-y...

The circles `x^2+y^2+x+y=0`and `x^2+y^2+x-y=0`intersect at an angle of

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The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 is theta , then the equation of the line passing through (1, 2) and making an angle theta with the y-axis is (A) x=1 (B) y=2 (C) x+y=3 (D) x-y=3

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct points if

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 I intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is (A) 2x-sqrt5y-20=0 (B) 2x-sqrt5y+4=0 (C) 3x-4y+8=0 (D) 4x-3y+4=0

The equation of the line inclined at an angle of pi/4 to the x-axis ,such that the two circles x^2+y^2=4 and x^2+y^2 -10 x-14 y+65=0 intercept equal length on it, is (A) 2x-2y-3=0 (B) 2x-2y+3=0 (C) x-y+6=0 (D) x-y-6=0

A circle through the common points of the circles x^2+y^2-x+7y-3=0 and x^2+y^2-5x+y+1=0 has its centre on the line x+y=0.Find the equations of the circle.

If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points then

The line y = mx intersects the circle x^(2)+y^(2) -2x - 2y = 0 and x^(2)+y^(2) +6x - 8y =0 at point A and B (points being other than origin). The range of m such that origin divides AB internally is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions

Which of the following is a point on the common chord of the circle x^...
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The circles x^2+y^2+x+y=0and x^2+y^2+x-y=0intersect at an angle of
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If the tangents are drawn to the circle x^2+y^2=12 at the point where ...
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The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each oth...
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A line is drawn through a fixed point P(alpha,beta)to cut the circle x...
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Find the equation of the circle which passes through the origin and cu...
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Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with th...
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Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for
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If one end of the diameter is (1, 1) and the other end lies on the lin...
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Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it...
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