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The number of values of a for which the ...

The number of values of `a` for which the lines `2x+y-1=0` , `a x+3y-3=0,` and `3x+2y-2=0` are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

A

all a

B

a=4 only

C

`-1 le a le 3`

D

`a gt 0` only

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A
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Chapter Test
  1. Write the distance between the lines 4x+3y-11=0\ a n d\ 8x+6y-15=0.

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  2. If the diagonals of a parallelogram ABCD are along the lines x+5y=7 a...

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  3. The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle, whi...

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  4. Write the coordinates of the orthocentre of the triangle formed by ...

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  5. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

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  6. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

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  7. The diagonals of the parallelogram whose sides are lx+my+n = 0,lx+ my+...

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  8. The equation of the sides of a triangle are x-3y=0, 4x+3y=5 and 3x+y=0...

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  9. A straight line through P(1,2) is such that its intercept between the...

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  10. Two points (a,0) and (0,b) are joined by a straight line. Another poin...

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  11. If the line y=mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same poi...

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  12. The equations ax+by+c=0 and dx+ey+f=0 represent the same straight lin...

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  13. If the line segment joining (2,3) and (-1,2) is divided internally in ...

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  14. A point moves in the xy-plane such that the sum of its distance from t...

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  15. The vertices of a triangle are (0,3) ,(-3,0) and (3,0) . The coordinat...

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  16. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

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  17. Family of lines x sec^(2) theta + y tan^(2)theta -2=0 for different re...

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  18. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

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  19. The area of a pentagon whose vertices are (4,1) (3,6) , (-5,1) , (-3,-...

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  20. The foot of the perpendicular on the line 3x+y=lambda drawn from the o...

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