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The product of perpendiculars let fall f...

The product of perpendiculars let fall from the point `(x_(1),y_(1))` upon the lines represented by `ax^(2)+2hxy+by^(2)`, is

A

`|(ax_(1)^(2)+2hx_(1)y_(1)+by_(1)^(2))/(sqrt((a-b)^(2)-4h^(2)))|`

B

`|(ax_(1)^(2)+2hx_(1)y_(1)+by_(1)^(2))/(sqrt((a-b)^(2)+4h^(2)))|`

C

`|(ax_(1)^(2)+2hx_(1)y_(1)+by_(1)^(2))/(sqrt((a+b)^(2)-4h^(2)))|`

D

`|(ax_(1)^(2)+2hx_(1)y_(1)+by_(1)^(2))/(sqrt((a+b)^(2)+4h^(2)))|`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. If theta is the angle between the lines represented by ax^(2)+2hxy+by^...

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  2. The lines represents by ax^2+2hxy+by^2=0 are perpendicular to each oth...

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  3. The product of perpendiculars let fall from the point (x(1),y(1)) upon...

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  4. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, ...

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  5. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  6. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  7. Lines represented by 4x^(2)+4xy+y^(2)=0 are

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  8. Lines represented by x^(2)-y^(2)=0 are

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  9. Lines represented by x^(2)+7xy+2y^(2)=0 are

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  10. Lines represented by x^(2)+2xy-y^(2)=0 are

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  11. If the lines represented by ax^(2)+4xy+4y^(2)=0 are real distinct, the...

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  12. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

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  13. Lines represented by px^(2)-qy^(2)=0 are real and coincident, if

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  14. Lines represented by px^(2)-qy^(2)=0 are imaginary, if

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  15. Which of the following equation does not represent a pair of li...

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  16. If l, m, n are in AP, then the line lx+my+n=0 will always pass through...

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  17. The separate equations of the lines represented by the equation x^(2)-...

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  18. The separate equations of the lines represented by the equation 3x^(2)...

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  19. The separate equations of the lines represented by the equation 5x^(2)...

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  20. The separate equations of the lines represented by the equation 5x^(2)...

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