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If each of the points (x1,4),(-2,y1) lie...

If each of the points `(x_1,4),(-2,y_1)` lies on the line joining the points `(2,-1)a n d(5,-3)` , then the point `P(x_1,y_1)` lies on the line. (a) `6(x+y)-25=0` (b) `2x+6y+1=0` (c) `2x+3y-6=0` (d) `6(x+y)+25=0`

A

x = 3y

B

x = - 3y

C

y = 2x + 1

D

2x + 6y + 1 = 0

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. about to only mathematics

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  2. The orthocentre of the triangle formed by the lines x + y =1 , 2x + 3...

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  3. If each of the points (x1,4),(-2,y1) lies on the line joining the poin...

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  4. The area bounded by the straight lines y =1 and +- 2 x + y = 2, in squ...

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  5. The locus of a point P which divides the line joining (1, 0) and (2 co...

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  6. The area of triangle A B C is 20c m^2dot The coordinates of vertex A a...

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  7. Prove that the area of the parallelogram formed by the lines xcosalpha...

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  8. Find the ratio in which the line 3x+4y+2 = 0 divides the distance betw...

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  9. If the extremities of the base of an isosceles triangle are the points...

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  10. The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...

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  11. The area (in square units) of the quadrilateral formed by two pair of ...

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  12. Find the equation of the bisector of the angle between the lines x+ 2...

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  13. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

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  14. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

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  15. If PM is the perpendicular from P(2,3) on the line x+y=3, then the co...

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  16. The incentre of the triangle formed by the line 3x + 4y-12 = 0 with th...

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  17. If one vertex of an equilateral triangle is at (2.-1) 1base is x + y -...

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  18. The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +...

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  19. Points A (1, 3) and C (5, 1) are opposite vertices of a rectangle ABCD...

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  20. The line x+ 2y=4 is-translated parallel to itself by 3 units in the se...

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