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If two lines represented by x^4+x^3y+c x...

If two lines represented by `x^4+x^3y+c x^2y^2-x y^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`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The value k for which 4x^2+8x y+k y^2=9 is the equation of a pair of s...

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  2. The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicul...

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

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  4. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a)(...

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  5. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

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  6. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the ...

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  7. Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+...

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  8. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

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  9. Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n d y=9 is

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  10. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

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  11. x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , are three real distinct line...

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  12. If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 ...

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  13. Find the area of the triangle formed by the line x+y=3 and the angle b...

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  14. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

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  15. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

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  16. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

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  17. Find the equation of the bisectors of the angles between the lines ...

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  18. If theta is the angle between the lines given by the equation 6x^2+5x ...

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  19. The distance of a point (x1, y1) from two straight lines which pass th...

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  20. Prove that the product of the perpendiculars from (alpha,beta) to the ...

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