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The points (-a,-b),(0,0),(a,b) and (a^(2...

The points `(-a,-b),(0,0),(a,b)` and `(a^(2),ab)` are

A

collinear

B

vertices of a rectangle

C

vertices of a parallelogram

D

None of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-SELF ASSESSMENT TEST
  1. The straight lines x+y-4=0,3x+y-4=0,x+3y-4=0 form a triangle which is

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  2. The diagonals of parallelogram PQRS are along the lines x+3y=4 and 6x-...

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  3. The points (-a,-b),(0,0),(a,b) and (a^(2),ab) are

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  4. The equation of a line through (2,-3) parallel to y-axis is

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  5. The equations of the line the reciprocal of whose intercepts on the ax...

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  6. The line L has intercepts a and b on the coordinate axes. When keeping...

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  7. The locus of the orthocentre of the triangle formed by the lines (1+p)...

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  8. Orthocentre of the triangle formed by the lines x+y=1 and xy=0 is

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  9. The incentre of triangle with vertices (1, sqrt(3)), (0,0) and (2, 0) ...

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  10. The orthocentre of the triangle with vertices [2,((sqrt(3)-1))/2],(1...

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  11. Consider three points P=(-sin (beta-alpha),-cos beta), Q=(cos (beta-a...

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  12. The locus of a point which moves so that its distance from x-axis is d...

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  13. Let P be the point (1,0) and Q a point on the locus y^2 = 8x. The locu...

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  14. Locus of the centroid of a triangle whose vertices are (a cos t, a sin...

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  15. The line y=x meets y=ke^(x),kle0 at

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  16. Let O (0,0),P(3,4),Q(6,0) be the vertices of the triangle OPQ. The poi...

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  17. Let A (2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroi...

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  18. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

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  19. A straight line through the vertex P of a trinagle PQR intesect the si...

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  20. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

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