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The equation of the pair of lines passin...

The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arthemitic mean and geometric mean of 4 and 9 is

A

`12x^2-13xy+2y^2=0`

B

`12x^2-15xy+2y^2=0`

C

`12x^2-15xy+2y^2=0`

D

`12x^2+15xy-2y^2=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. The range of 'a' so that a^2x^2+2xy+4y^2=0 represents distinct lines

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  2. The locus represented by the equation (x-y+c)^2+(x+y-c)^2=0 is

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  3. The equation of the pair of lines passing through the origin whose sum...

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  4. The difference of the slopes of the lines represented by x^2(tan^2thet...

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  5. If the pair of lines given by (x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha...

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  6. Through a point A on the x-axis, a staight line is drawn parallel to t...

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  7. the number of values of a for which the pair of lines represented by ...

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  8. The equation a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0 represents two pairs...

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

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  10. The equation of the pair of lines through (1,-1) and perpendicular to ...

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  11. The condition that one of the straight lines given by the equation ax^...

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  12. If the pair of lines x^2+2xy+ay^2=0 and ax^2+2xy+y^2=0 have exactly on...

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  13. The equations x-y=4 and x^2+4xy+y^2=0 represent the sides of

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  14. The triangle formed by the pair of line 3x^2+48xy+23y^2=0 and the line...

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  15. Equation of pair of lines passing through origin and making an angle T...

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

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  17. If one angular bisector of a(x+1)^(2)+2h(x+1)(y-3)+b(y-3)^(2)=0 is 2x-...

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  18. If the pairs of lines 3x^2-2pxy-3y^2=0 and 5x^2-2qxy-5y^2=0 are such t...

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

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  20. The slope of angular bisector of line (ax+by)^2=c(bx-ay)^2,(cgto) are

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