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If P and Q are two points on the line 3x + 4y = - 15, such that OP = OQ = 9 units, the area of the triangle POQ will be

A

`9sqrt(2)`

B

`18sqrt(2)`

C

`12sqrt(2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
  1. If P be a point equidistant from points A (3,4) and B (5,-2) and area ...

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  2. P(3, 1), Q(6, 5) and R(x, y) are three points such that the angle PRQ ...

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  3. If P and Q are two points on the line 3x + 4y = - 15, such that OP = O...

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  4. P(2,1) , Q (4,-1) , R (3,2) are the vertices of a triangle and if thro...

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

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  6. The line x+y=4 divides the line joining the points (-1,1) and (5,7) in...

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  7. The line segment joining the points (-3,-4), and (1,-2) is divided by ...

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  8. The line segment joining the points (1,2) and (-2,1) is divided by the...

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  9. If A and B are the points (-3,4) and (2,1). Then the co -ordinates of ...

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  10. P and Q are points on the line joining A(-2,5) and B(3,1) such that AP...

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  11. A the equation of the lines joining the origin to the points of trisec...

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

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  13. If a straight line passes through (x(1),y(1)) and its segment between ...

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  14. The equations of the straight line passing through the point (4,3) and...

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  15. A straight line through the point P(3,4) is such that its intercept be...

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  16. The equation of the straight line passing through the origin and the m...

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  17. Given points A(4,5),B(-1,-4),C(1,3),D(5,-3),then the ratio of the segm...

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  18. A,B,C are three collinear points such that AB=2.5 and the co ordinate...

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  19. Determine the ratio in which the line y - x + 2 = 0 divides the line...

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

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