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Let phi(x,y)=0 be the equation of a circ...

Let `phi(x,y)=0` be the equation of a circle. If `phi(0,lamda)=0` has equal roots `lamda=2,2fandphi(lamda,0)=0` has roots `lamda=(4)/(5),5` then the centre of the circle is

A

`(2,(29)/(10))`

B

`((29)/(10),2)`

C

`(-2,(29)/(10))`

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
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  2. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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  3. S(x,y)=0 represents a circle. The equation S(x,2)=0 gives two identica...

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  4. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  5. Find the number of point (x ,y) having integral coordinates satisfying...

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  6. The point ( [P + 1] , [P] ) (where [.] denotes the greatest integer fu...

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  7. A point Plies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. The...

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  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

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  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

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  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  12. Let phi(x,y)=0 be the equation of a circle. If phi(0,lamda)=0 has equa...

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  13. Find the locus of the point of intersection of tangents to the circle ...

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  14. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

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  15. A, B C and D are the points of intersection with the coordinate axes o...

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  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

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  17. The equation of the circle passing through (2,0) and (0,4) and having ...

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  18. A circle of radius unity is centered at thet origin. Two particles tar...

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  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

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  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

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