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A straight line through the origin O meets the parallel lines `4x+2y=9 and 2x+y+6=0` at points P and Q respectively. Then the point O divides the segment PQ in the ratio :

A

0.043055555555556

B

0.12777777777778

C

0.084027777777778

D

0.16875

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The number of integer values of m for which the x-co-ordinates of the ...

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

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  3. A straight line through the origin O meets the parallel lines 4x+2y=9 ...

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  4. Let P(-1, 0), Q(0, 0) and R(3, 3sqrt(3)) be three points. Then the equ...

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  5. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

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

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  7. The lines y=mx, y+2x=0, y=2x+k and y+mx=k form a rhombus if m is equal...

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  8. The lines x+(a-1) y+1=0 and 2 x+a^(2) y-1=0 are perpendicular if

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  9. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

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  10. If P=(1,0), Q=(-1,0) and R=(2,0) are three given points, then the locu...

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  11. If P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelog...

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  12. The diagonals of a parallelogram P Q R S are along the lines x+3 y=4 a...

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  13. If the vertices P, Q, R are rational points which of the following poi...

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  14. If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=

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  15. The centroid of a triangle formed by the points (0, 0), (cos theta, si...

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  16. The orthocentre of the triangle formed by (8,0) , (4,6) with the origi...

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  17. The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is

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  18. The locus of the point of the portion of the line x cos alpha-ysin alp...

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  19. The value of lambda for which the lines 3 x+4 y=5, 5 x+4 y=4 and lambd...

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  20. Three vertices of a parallelogram taken in order are (-1,-6),(2,-5) an...

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