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The equation x^2y^2-9y^2+6x^2y+54 y=0 re...

The equation `x^2y^2-9y^2+6x^2y+54 y=0` represents a pair of straight lines and a circle a pair of straight lines and a parabola a set of four straight lines forming a square none of these

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The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

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The equation x^(2) - 2xy +y^(2) +3x +2 = 0 represents (a) a parabola (b) an ellipse (c) a hyperbola (d) pair of straight line

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Equation x^(2) +k_(1)y^(2) +2k_(2)y = a^(2) represents a pair of perpendicular straight lines if

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
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  2. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is...

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  3. Area of the triangle formed by the line x+y=3 and angle bisectors of...

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  4. The equation x^2y^2-9y^2+6x^2y+54 y=0 represents a pair of straight l...

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  5. The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(...

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  6. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

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  7. The condition that one of the straight lines given by the equation a x...

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  8. If the lines represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are ro...

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  9. A point moves so that the distance between the foot of perpendicula...

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  10. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^...

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  11. Find the point of intersection of the pair of straight lines represent...

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  12. Find the angle between the lines represented by x^(2)+2xysectheta+y^(2...

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  13. If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about...

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  14. If the equation 2x^(2)+kxy+2y^(2)=0 represents a pair of real and dist...

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  15. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

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  16. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

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  17. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

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  18. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

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  19. Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form wi...

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  20. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

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