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If the pair of lines x^2+2xy+ay^2=0 and ...

If the pair of lines `x^2+2xy+ay^2=0 and ax^2+2xy+y^2=0` have exactly one line in common, then the joint equation of the other two lines is given by

A

`3x^2+8xy-3y^2=0`

B

`3x^2+10xy+3y^2=0`

C

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

D

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

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
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  2. The condition that one of the straight lines given by the equation ax^...

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

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

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

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

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  8. 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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  9. 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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  10. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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

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  12. If two lines represented by x^4+x^3y+cx^2y^2-xy^3+y^4=0 bisect the ang...

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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 area of the triangle formed by the straight line x + y = 3 and the...

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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. If the area of the triangle formed by the lines 3x^2-2xy-8y^2=0 and th...

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  17. If the sides of a triangle are ax^2+2hxy+by^2=0 and y=x+c, then its ar...

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

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  19. If two sides of triangle are given by x^2-xy-6y^2=0 " and the centroid...

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  20. Centriod of triangle whose sides are (x^2+7xy+2y^2)(y-1)=0 is

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