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The condition that the equation ax^2+by^...

The condition that the equation `ax^2+by^2+c(x+y)=0` to represents a pair of straight lines is

A

a+b=0 or c=0

B

`a+b=0 or c=0, ablt0`

C

`ab gt 0, c=0`

D

`a+bne0, cne0`

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

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  2. The combined equation of three sides of a triangle is (x^(2)-y^(2))(2...

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  3. The condition that the equation ax^2+by^2+c(x+y)=0 to represents a pai...

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  4. The value of lambda " such that " lambdax^2-10xy+12y^2+5x-16y-3=0 repr...

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  5. If a and b positive numbers (altb), then the range of values of k for ...

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  6. The equation to the pair of lines passing through (1,1) and parallel t...

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  7. If the angle between the lines respresented by 2x^2+5xy+3y^2+6x+7y+4=0...

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  8. The equation x^2-5xy+py^2+3x-8y+2=0 represents a pair of straight line...

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  9. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines then...

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  10. If x^2+alphay^2+2betay=a^2 represents a pair of perpendicular lines, t...

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  11. If the equation of the pair of straight lines passing through the poin...

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  12. The product of the perpendiculars from (f,-g) to the pair of st. line ...

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  13. If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis...

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  14. The lengh of x-intercpt made by pair of lines 2x^2+xy-6y^2-2x+17y-12=0...

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  15. Length of y-intercept made by pair of lines 2x^(2)+lambda xy+3y^(2)+8x...

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  16. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

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  17. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

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  18. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

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  19. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

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  20. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

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