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The equation x^2+y^2+2gx+2fy+c=0 represe...

The equation `x^2+y^2+2gx+2fy+c=0` represents a point -circle when

A

a)`f^2-g^2=C`

B

b)`g^2+f^2+C=0`

C

c)`g^2-f^2=C`

D

d)`g^2+f^2=C`

Text Solution

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. The angle between the-lines x+sqrt3y+7=0and sqrt3x-y+8=0is

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  2. The distance between the two-parallel lines 3x + 4y + 9 =0and 3x+4y+7=...

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  3. The equation x^2+y^2+2gx+2fy+c=0 represents a point -circle when

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  4. The-equation of the directrix of the parabola 2x^2=3y is

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  5. If the equation x^2/(4-m)+y^2/(m-7)+1=0represents an ellipse then

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  6. The length of the latus rectum of the hyperbola 9x^2-25y^2=225is

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  7. The points (5, 2, 4), (6, -1, 2) and (8,-7, k) are collinear if k =

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  8. If | x | le y then

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  9. If it(xrarr3)(ax^2-beta)/(x-3)=12,then

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  10. 5f(x)+3f(1/x)=x+2 and y=xf(x),then dy/dx=

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  11. The slope of the tangent to the curve y=2sqrt2x

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  12. If v is the variance and sigmais the standard diveation then

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  13. A and B be two mutually exclusive events such that P(A)=3/8,P(B)=1/3,t...

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  14. Define power set of a set A. Find the power set.of A = {{1}, [2, 3}}.

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  15. If A ={1, 2, 3, 4, 5} and B = {1, 2, 3, 7, 8, 9},find the value of n{(...

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  16. If f(x)=e^(x+a),g(x)=x^(b^2) and h(x)=e^(b^2x),show that (g[f(x)])/(h(...

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  17. Prove that tan (pi/12)tan((5pi)/12)tan ((7pi)/12)tan((11pi)/12)=1

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  18. Prove that tan62^@=2tan34^@+tan28^@

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  19. If cosalpha+cosbeta=1/3and sinalpha+sinbeta=1/4,show that tan ((alpha+...

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  20. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

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