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The points P(2,3) , Q(3, 5), R(7, 7) and...

The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

A

P, Q, R and S are collinear

B

PQRS is a parallelogram

C

S lies on the boundary of the triangle PQR

D

S lies inside the triangle PQR

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. Let A(1, 2) and B(3, 4) be two points. Let C(x, y) be a point such th...

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  2. If p, p' be the lengths of perpendicular from (0, 0) on the lines: x...

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  3. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

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  4. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

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  5. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

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  6. The position of a moving point in XY-plane at time t is given by (u co...

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  7. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

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  8. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

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  9. The equation of base of an equilateral triangle is x+y=2 and vertex is...

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  10. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

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  11. A square of side a lies above the x-axis and has one vertex at the ori...

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  12. If the equation of the locus of a point equidistant from the points (a...

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

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  14. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

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  15. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

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  16. If a vertex of a triangle is (1, 1) and the mid-points of two sides th...

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  17. A straight line through the point A(3, 4) is such that its intercept b...

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  18. If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

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  19. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

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  20. The co-ordinates of a point on the line x+y=3 such that the point is a...

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