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The four lines given by 3 x^(2)+10 x y+3...

The four lines given by `3 x^(2)+10 x y+3 y^(2)=0` and `3 x^(2)+10 x y+3 y^(2)-28 x-28 y+49=0` form a

A

rhombus

B

square

C

triangle

D

none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. Area of the parallelogram formed by 2 x^(2)+5 x y+3 y^(2)=0 and 2 x^(2...

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  2. The four lines given by y^(2)-4 y+3=0 and x^(2)+4 x y+4 y^(2)-5 y-10 y...

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  3. The four lines given by 3 x^(2)+10 x y+3 y^(2)=0 and 3 x^(2)+10 x y+3 ...

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  4. The four lines given by the equations 12 x^(2)+7 x y-12 y^(2)=0 and 12...

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  5. The point of intersection of perpendicular lines a x^(2)+3 x y-2 y^(2)...

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  6. The coordinates of the orthocentre of the triangle formed by the lines...

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  7. The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y...

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  8. The condition that the slope of one the lines of a x^(2)+2 h x y+b y^...

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  9. The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

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  10. Condition that a pair of lines are at right angle is

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  11. If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the valu...

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  12. The angle between the lines x^(2)+4 x y-y^(2)=0 is

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  13. Acute angle between the lines y^(2)-2 sqrt(3) x y+3 x^(2)=0 is

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  14. If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=

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  15. Angle between the lines sqrt(3)(x^(2)+y^(2))-4 x y=0 is

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  16. Angle between the lines x^(2)+sqrt(17) x y+2 y^(2)=0 is

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  17. If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

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  18. The joint equation of the straight lines x + y = 1 and x - y = 4 is

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  19. The combined equation of y -axis and the line x-1=0 is

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  20. The sum of the slopes of the lines represented by 4x^(2)+2hxy-7y^(2)=0...

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