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The angle between the pari of lines rep...

The angle between the pari of lines represented by `x^(2)-7xy+12y^(2)=0` is :

A

`sin ^(-1) (1)/(12)`

B

`sin ^(-1) (1)/(13)`

C

`sin ^(-1) (1)/(sqrt(170))`

D

`sin ^(-1) (1)/(sqrt(85))`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. If one of the pair of lines represented by a x^(2)+2 h x y+b y^(2)=0 i...

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  2. If one of the pair of lines represented by 6 x^(2)+2 h x y-3 y^(2)=0 i...

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  3. The angle between the pari of lines represented by x^(2)-7xy+12y^(2)...

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  4. The distance between the parallel lines given by (x+7y)^(2)+4sqrt(2...

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  5. If the slope of one of the lines represented by ax^(2)-6xy+y^(2)=0 is...

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  6. If the pair of lines a x^(2)+2 h x y-a y^(2)=0 and b x^(2)+2 g x y-b y...

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

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

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  9. If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines...

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  10. If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the valu...

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  11. 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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  12. Area of triangle formed by : 2x^(2)+xy-3y^(2)=0 and x+y=3 is

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  13. The equation of the pair of lines through the origin, the sum and the ...

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  14. Centroid of the triangle formed by the sides y-1 =0 and x^(2)+7xy+2y^(...

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  15. Orthocentre of the triangle formed by the lines x+y+1=0 and 2 x^(2)-x ...

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  16. The angle between the pair of straight lines y^(2)sin^(2) theta -xy ...

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  17. The equation of pair of lines joining origin to the points of intersec...

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  18. The equation of second degree x^(2)+2 sqrt(2) x y+2 y^(2)+4 x+4 sqrt(2...

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  19. If the angle between two st lines represented by 2x^(2)+5xy+3y^(2)+7y...

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  20. If the lines joining the origin to the points of intersection of the ...

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