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Question : If a cicrcle passes through the points of intersection of the lines 2x-y +1=0 and x+λy-3=0, with the axes of reference then the value of λ is :

Question : Two circles, each of radius 5, have a common tangent at (1, 1) whose equation is 3x+34y-7+0. Then their center are

Question : The number of points an the circles 2x2+2y2-3x=0 which area at a distance 2 from the point (-2, 1) is :

Question : If (2, 4) is a point interior to the circle x2+y2-6x+10y+λ=0 and the circle does not cut the axes at any point then λ belongs to the interval

Question : Two distinct chords drawn from the point (p, q) on the circle x2+y2=px+qy, where pq is not equal 0 are bisected bu the x-axis. Then

Question : There are two circles whose equations are x2+y2-8x-6y+n2=0, nεZ. If the circles have exactly two common tangents then the number of possible values of n is :

Question : The number of common tangents to the circles x2+y2-6x-14y+48=0 and x2+y2-6x=0 is

Question : The chords of contact of the pair of tangents to the circle x2+y2=1 drawn from any point on the line 2x+y=4 pass through the point:

Question : The number of feet of normal from the point (7,-4) to the circle x2+y2=5 is

Question : Aline meets the coordinate axes in A and B. A circle is circumscirbed about the triangle OAB. If the distances from A and B of the tangent to the circle at the origin be m and n, then the diameter of the circle is:

Question : If the common chord of the circles x2+(y-λ)2=16 subtend a right angle at the origin then λ is equal to

Question : The common chord of the circle x2+y2+6x+8y-7=0 and a circle passing through the origin ang touching the line y=x, always passes through the point:

Question : Two tangents to the circle x2+y2=4 at the points A and B meet at P(-4, 0). The area of the quadrilateral PAOB, where O is the origin is

Question : A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle is (2, 1) and a diameter of the circle has the equation 2x-y=7. Then the equation of the circle is :

Question : The locus of the middle points of the chords of the circles x2+y2= 4a2 which substains a right angle at the centre of the circle is :

Question : The angle between a pair of tangents drawn from a point P to the curve x2+y2+4x-6y +9sin2Ө+13cos2Ө=0 is 2Ө. The locus of P is

Question : The locus of the centres of the circles for which one end of diameter is (1, 1) while the other end is on the line x+y=3 is

Question : The locus of the centres of the circles paasing through the intersection of the circles x2+y2=1 and x2+y2-2x+y+0 is

Question : The equation of the circle of radius 2(2)1/2 whose centre lies on the line x-y=0 and which touches the line x+y=4 and whose centres co-ordinates satisfies the inequality x+y>4 is

Question : If (x, 3) and (3, 5) are the extremities of a diameter of a circle with centre at (2x, y) then the values of x and y are

Question : The point (1,4) lies inside the circle x2+y2-6x-10y+b=0 which does not touch or interest the coordinate axes, then:

Question : An equilateral triangle is inscribed in the circle x2+y2=a2 with the vertex at (a,o). The equation of the side opposite to this vertex is:

Question : An isoceles right angled triangle is inscribed in the circle x2+y2=r2 . If the coordinates of an end of the hypotenuse are (a, b) the coordinates of the vertex are

Question : If the polar of a point P with respect to the circle x2+y2 =a2 touches the circle (x-a)2+y2=a2, then P lies on

Question : The equation of the normal at the point (2, 3) to the circles x2+y2 -2x-2y-3=0 is

Question : A line is drawn through the point P(3, 11) to cut the circles x2 +y2=9 at A and B. Then PA.PB is equal to

Question : The line 9x+y-28=0 is the chord of contact of the point P(h,k) with respect to the circle 2x2+2y2-3x+5y-7=0, for

Question : The two circles x2+y2+2ax+c=0 and x2+y2 +2by+c=0 touching each other

Question : If the circles x2+y2+2x+2ky+6=0 and x2+y2 +2x+2ky+k=0 intersect orthogonally, then k is

Question : AThe circle x2+y2+4x-6y+9=0 undergoes the following transformation 3f(x, y) -f(x+1, y)+f(x,y +1)=0 then the ratio of areas of the new circle is to original circle is:

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