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If 2x^(2)-3xy+y^(2)=0 represents two si...

If `2x^(2)-3xy+y^(2)=0` represents two sides of a triangle and lx + my + n = 0 is the third side then locus of incentre of the triangle is

A

`3x^(2)+2xy-3y^(2)=0`

B

`2x^(2)+3xy+y^(2)=0`

C

`2x^(2)-3xy-y^(2)=0`

D

`2x^(2)-3xy-2y^(2)=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. If the pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have...

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  2. Equation of line common to pair of lines (p^(2)-q^(2))x^(2)+(q^(2)-r^(...

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  3. If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...

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  4. If the line lx+my+n=0 meets the pair of lines 3x^(2)+7xy-5y^(2)=0 at A...

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  5. The equation of the pair of angular bisectors of the pair of lines xy ...

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  6. the line y=mx bisects the angle between the pair of ax^(2)-2hxy+by^(2)...

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  7. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

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

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

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

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

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

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

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

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

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

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

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

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

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