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Equation of a circle S(x,y)=0 , (S(2,3)=...

Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+4y-7=0 at (1,1) is given by

A

`x^(2)+y^(2)+x+2y-5=0`

B

`x^(2)+y^(2)+2x+2y-7=0`

C

`x^(2)+y^(2)+4x-6y+13=0`

D

`x^(2)+y^(2)-4x+6y-7=0`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. Equation of chord AB of the circle x^2+y^2=2 passing through P(2,2) su...

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  2. If r1a n dr2 are the radii of the smallest and the largest circles, re...

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  3. Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...

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  4. If P(2,8) is an interior point of a circle x^(2)+y^(2)-2x+4y-lamda=0 w...

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  5. The difference between the radii of the largest and smallest circles w...

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  6. The number of rational point(s) [a point (a, b) is called rational, if...

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  7. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

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  8. f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has e...

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  9. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through (a, n) cuts the ci...

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  10. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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

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

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

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

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

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

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

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

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

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