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f(x , y)=x^2+y^2+2a x+2b y+c=0 represent...

`f(x , y)=x^2+y^2+2a x+2b y+c=0` represents a circle. If `f(x ,0)=0` has equal roots, each being `2,` and `f(0,y)=0` has 2 and 3 as its roots, then the center of the circle is `(2,5/2)` (b) Data are not sufficient `(-2,-5/2)` (d) Data are inconsistent

A

`(2,(5)/(2))`

B

Data are not consistent

C

`(-2,-(5)/(2))`

D

Data are inconsistent

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

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

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

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

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

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