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The diagonals of a parallelogram ABCD ar...

The diagonals of a parallelogram ABCD are along are the lines x+3y=4 and 6x-2y=7. Then ABCD must be a

A

rectangle

B

square

C

cyclic quadrilateral

D

rhombus

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(3)(MULTIPLE CHOICE QUESTIONS)
  1. The number of lines that are parallel to 2x+6y+7=0 and have an interce...

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  2. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

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  3. The equation of two sides of a square whose area is 25 square units ar...

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  4. A(-1,1),B(5,3) are opposite vertices of a square in xy-plane. The eq...

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  5. In a rhombus ABCD the diagonals AC and BD intersect at the point (3,4)...

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  6. A square of side 'a' lies above the x-axis and has one vertex at the o...

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  7. The points (i) A(0,-1),B(2,1),C(0,3),D(-2,1) are the vertices of ...

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  8. The four lines ax+by+c=0 enclose a

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  9. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...

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  10. Area of the parallelogram formed by the lines y = mx, y = mx + 1,y = n...

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  11. If A(1,1),B(sqrt(3)+1,2) and C(sqrt(3),sqrt(3)+2) be three vertices of...

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  12. The diagonals of the parallelogram whose sides are lx+my+n = 0,lx+ my+...

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  13. The diagonals of a parallelogram ABCD are along are the lines x+3y=4 a...

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  14. If the quadrilateral formed by the lines ax+by+c=0,a'x+b'y+c=0 ax+...

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  15. If the area of the rhombus enclosed by lines lx+-my+-n=0 be 2 square u...

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  16. A straight line thorugh P(1,2) is such that its intercept between the ...

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  17. The acute angle between the lines ax+by+c=0 and (a+b)x=(a-b)y,a!=b is

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  18. The line which is parallel to x-axis and crosses the curve y=sqrt(x) a...

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  19. The reflection of the point (4,-13) in the line 5x+y+6=0 is

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  20. The image of the point A(1,2) by the line mirror y=x is the point B an...

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