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Show that the pairs of straight lines `2x^2+6x y+y^2=0` and `4x^2+18 x y+y^2=0` are equally inclined,then b is equal to

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Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 have the same set of angular bisector.

Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 have the same set of angular bisector.

Show that the pair of lines given by a^2x^2+2h(a+b)xy+b^2y^2=0 is equally inclined to the pair given by ax^2+2hxy+by=0 .

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

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Prove that the lines 2x^2+6xy+y^2=0 are equally inclined to the lines 4x^2+18xy+y^2=0

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

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 represent two pairs of perpendicular straight lines two pairs of parallel straight lines two pairs of straight lines which are equally inclined to each other none of these

The equation of the line inclined at an angle of pi/4 to the x-axis ,such that the two circles x^2+y^2=4 and x^2+y^2 10 x-14 y+65=0 intercept equal length on it, is (A) 2x-2y-3=0 (B) 2x-2y+3=0 (C) x-y+6=0 (D) x-y-6=0

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  3. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

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  4. The product of the perpendiculars from origin to the pair of lines a x...

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

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

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

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  11. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

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

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  13. If the component lines whose combined equation is px^(2)-qxy-y^(2)=0 m...

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  14. Find the joint equation of pair of lines which passes through origin a...

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  15. 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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  17. If the gradient one of the lines x^2+h x y+2y^2=0 is twice that of the...

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  18. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

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  19. Two pairs of straight lines have the equations y^(2)+xy-12x^(2)=0andax...

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