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If 2x + 3y = 7 makes equal angles with p...

If 2x + 3y = 7 makes equal angles with pair of lines `9x^(2)+12xy+ky^(2)=0` then k=

A

7

B

14

C

`-14`

D

`-7`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

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  2. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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  3. If 2x + 3y = 7 makes equal angles with pair of lines 9x^(2)+12xy+ky^(2...

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  4. If the lines ax^(2) + 2hxy + by^(2)= 0 are equally inclined with the c...

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  5. If the coordinate axes are the bisectors of the angles between the pai...

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  6. If two lines in 2x^(2)+2(k-1)xy-3y^(2)=0 are equally inclined to axes ...

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  7. If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0...

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  8. If one of lines in ax^(2)+2hxy+by^(2)=0 bisects the angle between the...

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  9. If the lines represented by h(x^(2)-y^(2))+txy=0 bisects the angle bet...

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

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  12. Assertion (A) : 3x^(2)+4xy+y^(2)=0 and 7x^(2)+12xy+y^(2)=0 are equally...

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  13. If the pair of lines ax^(2)+2hxy+by^(2)=0 (h^(2) gt ab) orms an equila...

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  14. The triangle formed by the pair of lines x^(2)+16x-y^(2)=0 and x-2y+13...

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  15. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

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  16. The triangle formed by the pair of lines x^(2)-4y^(2)=0 and x-a=0 is a...

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  17. The triangle formed by 2x+3y+7=0 and the pair (2x+3y)^(2)-3(3x-2y)^(2)...

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  18. The area of the triangle formed by two rays whose combined equation is...

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  19. The area of triangle formed by x+y+1 = 0 and x^(2)-3xy+2y^(2)=0 is

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  20. If a + b = 2h , then the area of the triangle formed by the lines ax^(...

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