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The number of real values of lambda for ...

The number of real values of `lambda` for which the lines `x-2y+3=0,\ lambdax+3y+1=0\ a n d\ 4x-lambday+2=0` are concurrent is a. 0 b. 1 c. 2 d. Infinite

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The given lines are x−2y+3=0 ...(1)
λx+3y+1=0 ...(2)
4x−λy+2=0 ...(3)
...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. A line passes through the point (2,2) and is perpendicular to the lin...

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  2. I the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurren...

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  3. The number of real values of lambda for which the lines x-2y+3=0,\ lam...

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  4. The equations of the sides A B ,\ B C\ a n d\ C A\ of\ triangleA B C\ ...

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  5. If p1a n d\ p2 are the lengths of te perpendiculars from the origin...

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  6. Area of the triangle formed by the points ((a+3)(a+4),\ a+3),\ ((a+2)(...

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  7. If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed...

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

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  9. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

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

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  11. If the point (5,2) bisects the intercept of a line between the axes, ...

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  12. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Del...

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  13. If p be the length of theperpendicular from the origin on the line x//...

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  14. The equation of the line passing through (1,5) and perpendicular to th...

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  15. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

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  16. Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies o...

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  17. (i) Find the gradient of a straight line which is passes through the p...

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  18. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is ^0 d. 30...

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  19. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

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  20. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

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