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If two lines represented by `x^4+x^3y+cx^2y^2-xy^3+y^4=0` bisect the angle between the other two then the value of 'c' is

A

0

B

-1

C

1

D

-6

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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

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

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

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

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  6. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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