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The lines joining the origin to the poin...

The lines joining the origin to the point of intersection of the curves
`x^(2)+y^(2)+2gx+c=0` and `x^(2)+y^(2)+2fy-c=0` are at right angles if

A

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

B

`g^(2)+f^(2)=c`

C

`g^(2)+f^(2)=c^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-FAMILY OF LINES -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angl...

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  2. If the pairs of lines 3x^(2)-2pxy-3y^(2)=0 and 5x^(2)-2qxy-5y^(2)=0...

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  3. If pair of st lines ax^(2)+2hxy-ay^(2)-ay^(2)=0 and bx^(2)+2gxy-by^(2)...

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  4. Let PQR be a right angled isosceles triangle right angled at P(2,1) ...

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  5. If the pair of lines a x^(2)+2 h x y+b y^(2)=0 is rotated about the or...

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  6. The equation of the image of the pair of lines y =|x| by the line x ...

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  7. If x^(2)-kxy+y^(2)+2y+2=0 represent a pair of st lines then k equa...

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  8. The equation 8x^(2)+8xy+2y^(2)+26x+13y+15=0 represents a pair of paral...

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  9. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel lines then

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  10. The lines joining the origin to the point of intersection of the curve...

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  11. The lines joining the origin to the points of intersectio of the curv...

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  12. The equation x-y=4 and x^(2)+4xy+y^(2)=0 represent the sides of

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  13. A diagonal of the rectangle formed by the lines x^(2)-7x+6=0 and y^(...

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  14. If two of the lines ax^(3)+bx^(2)y+cxy^(2)+dy^(3)=0 make complementa...

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  15. If the pairs of lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 be su...

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  16. A square is formed by following two pairs of st lines y^(2)-14y+45=0 a...

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  17. If one of the lines given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0 then c eq...

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  18. Out of two st lines represented by an equation ax^(2)+2hxy+by^(2)=0 if...

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  19. The line parallel to the x axis and passing through the intersection o...

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  20. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector ...

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