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If the bisectors of angles represented b...

If the bisectors of angles represented by `ax^2+2hxy+by^2=0` and `a'x^2+2h'xy+b'y^2=0` is same , then

A

`(a-b)h'=(a'-b')h`

B

`(a-b)h=(a'-b')h'`

C

`(a+b)h'=(a'b')h`

D

`a-b)h'=(a'+b')h`

Text Solution

Verified by Experts

The correct Answer is:
A
Since , bisectors are same , therefore `(a-b)/(h)=(a'-b')/(h')`
`therefore (a-b)h'-(a'-b')h` .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -Excercise 2 (MISCELLANEOUS PROBLEMS)
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  2. The pair of lines passing through the origin and parallel to the lines...

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  3. If the bisectors of angles represented by ax^2+2hxy+by^2=0 and a'x^2+2...

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  4. The angle between the pair of straight lines y^2sin^2theta-xysin^2thet...

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  7. The point of intersection of the pair of straight lines given by 6x^(2...

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  8. If first degree terms and constant term are to be removed from the equ...

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  9. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

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  10. A pair of perpendicular straight lines is drawn through the origin f...

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  11. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

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  12. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

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  13. The slopes of lines represented by x^2+2hxy+2y^2=0 are in the ratio 1:...

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  14. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^(...

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

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  16. The distance between the two lines represented by the sides of an equi...

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  17. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

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  18. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

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  19. The angle between the pair of straight lines formed by joining the poi...

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