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If theta is the acute between the pair o...

If `theta` is the acute between the pair of lines `x^(2)+3xy-4y^(2)=0` then `sin theta=`

A

`pi/6`

B

`pi/3`

C

`5/sqrt34`

D

`3/sqrt34`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
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  8. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of a...

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

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  10. The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by...

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  11. The locus of the points equidistant from the pair of line x^2cos^2thet...

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  12. The straight lines represented by the equation 135x^2+136xy+33y^2=0 ar...

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  13. The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...

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  14. If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordi...

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  16. If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...

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  17. The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0...

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  18. The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are

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  19. If the equation 2x^2+5xy+3y^2+6x+7y+=0 represents a pair of lines, the...

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