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The angle between the straight lines joi...

The angle between the straight lines joining the origin to the point of intersection of `3x^(2)+5xy-3y^(2)+2x+3y=0` and `3x-2y=1`, is

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
The combined equation of the straight lines joining the origin to the point of intersection of `3x^2+5xy-3y^2+2x+3y=0 and 3x-2y=1` is `3x^2+5xy-3y^2+(2x+3y)(3x-2y)=0`
`therefore 9x^2+10xy-9y^2=0`
Clearly , it represents a pair of perpendicular straight lines.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -Excercise 2 (MISCELLANEOUS PROBLEMS)
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  8. All chords of the curve 3x^2-y^2-2x+4y=0 which subtend a right angle a...

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  9. Distance between the lines represented by the equation x^2+2sqrt(3)xy+...

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  10. The lines represented by x^(2)+2lambda xy+2y^(2)=0 and the lines repre...

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  11. The pair of lines passing through the origin and parallel to the lines...

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

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

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

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

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

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

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