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The combined equation to a pair of stari...

The combined equation to a pair of staright lines passing through the origin and inclined at an angles `30^@ and 60^@` respectively with X-axis is

A

`sqrt3(x^2+y^2)=4xy`

B

`4(x^2+y^2)=sqrt3xy`

C

`x^2+sqrt3 y^2-2xy=0`

D

`x^2+3 y^2-2xy=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 combined equation to a pair of staright lines passing through the ...

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  2. The range of 'a' so that a^2x^2+2xy+4y^2=0 represents distinct lines

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. 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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  20. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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