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Prove that the limiting points of the sy...

Prove that the limiting points of the system `x^(2)+y^(2)+2gx+c+lamda(x^(2)+y^(2)+2fx+k)=0` subtend a right angle at the origin, if `(c)/(g^(2))+(k)/(f^(2))=2`.

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Chapter Test
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  11. If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=...

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  13. The equation of the image of the lines y=|x| in the line mirror x = 2 ...

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  15. The equation of second degree x^2+2sqrt2xy+2y^2+4x+4sqrt2y+1=0 represe...

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