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L1 = x + 3y-5=0, L2= 3x-ky-1=0 , L3 = 5x...

`L_1 = x + 3y-5=0, L_2= 3x-ky-1=0 , L_3 = 5x + 2y-12 = 0 ` are concurrent if k=

A

`k^(2)+4k-45=0`

B

`5k^(2)+51k+45=0`

C

`5k^(2)-19k-6=0`

D

`5k^(2)+51k+54=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
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  2. The orthocentre of the triangle formed by the lines xy = 0 and 2x+3y-5...

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  3. The equations of the sides of a parallelogram are x = 2, x = 3 and y =...

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  4. The lines joining the origin to the point of intersection of The lines...

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  5. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

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  6. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

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  7. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

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  8. L1 = x + 3y-5=0, L2= 3x-ky-1=0 , L3 = 5x + 2y-12 = 0 are concurrent i...

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  9. Consider the lines L(1): x+y=10, " " L(2):x+y=60 L(3):x=40, "...

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  10. Line through P(a, 2) meets the ellipse x^2/9+y^2/4=1 at A and D and m...

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  11. The parallelogram is bounded by the lines y=ax + c; y=ax + d; y=bx + c...

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  12. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  13. Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...

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  14. The point (4, 1) undergoes the following three transformations success...

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  15. If the sum of the distances of a point from two perpendicular lines in...

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  16. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

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  17. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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

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  19. A ray of light travels along the line 2x-3y+5=0 and strikes a plane mi...

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  20. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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