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Does equation `x^2+2y^2-2sqrt(3)x-4y+5=0` satisfies the condition `a b c+2gh-af^2-bg^2-c h^2=0?` Does it represent a pair of straight lines?

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Through a point A on the x-axis, a straight line is drawn parallel to ...

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  2. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

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  3. Does equation x^2+2y^2-2sqrt(3)x-4y+5=0 satisfies the condition a b c+...

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  4. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represen...

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  5. Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+...

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  6. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

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  7. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0 u...

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  8. If the lines px^2-qxy-y^2=0 makes the angles alpha and beta with X-axi...

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  9. Find the joint equation of the pair of lines which pass through the ...

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  10. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

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  11. The distance between the two lines represented by the equation 9x^2-24...

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  12. If the gradient one of the lines ax^2+2h x y+by^2=0 is twice that of t...

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

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  14. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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

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  16. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide w...

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  17. If x^2+2h x y+y^2=0 represents the equation of the straight lines thr...

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  18. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

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  19. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  20. The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lin...

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