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The point of intersection of the lines x...

The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on

A

`x-y=0`

B

`(x+y)(a+b)=2ab`

C

`(px+qy)(a+b)=(p+q)abc`

D

`(px-qy)(a-b)=(p-q)ab`

Text Solution

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The correct Answer is:
A, B, C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(3)(MULTIPLE CHOICE QUESTIONS)
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  2. The equation of the line passing though the intersection of x-sqrt(3)y...

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  3. The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

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  4. The equation of the straight line whilch is perpendicular to y=x and p...

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  5. The equation of the line passing through (1,2) and perpendicular to x+...

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  6. The equation of the right bisector of the line segment joining the poi...

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  7. Foot of perpendicular drawn from (0,5) to the line 3x-4y-5=0 is

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  8. The equation of the line passing through (2,3) and perpendicular to th...

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

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  10. The point (1,3) and (5,1) are two opposite vertices of a rectangle. Th...

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  11. The number of lines that are parallel to 2x+6y+7=0 and have an interce...

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  12. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

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  13. The equation of two sides of a square whose area is 25 square units ar...

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  14. A(-1,1),B(5,3) are opposite vertices of a square in xy-plane. The eq...

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  15. In a rhombus ABCD the diagonals AC and BD intersect at the point (3,4)...

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  16. A square of side 'a' lies above the x-axis and has one vertex at the o...

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  17. The points (i) A(0,-1),B(2,1),C(0,3),D(-2,1) are the vertices of ...

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  18. The four lines ax+by+c=0 enclose a

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  19. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...

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  20. Area of the parallelogram formed by the lines y = mx, y = mx + 1,y = n...

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