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Given the four lines with the equations ...

Given the four lines with the equations
`x+2y-3=0`, `3x+4y-7=0`,
`2x+3y-4=0`, `4x+5y-6=0`, then

A

they are all concurrent

B

only three lines are concurrent

C

they are the sides of a quadrilateral

D

None of these

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. a,b,c are the sides of a triangle ABC. If the lines ax+by+c=0,bx+cy+a=...

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  2. The lines x+ay+a^(3)=0, x+by+b^(3)=0 and x+cy+c^(3)=0 where a,b,c are ...

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

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  4. The three straight lines 2x+11y-5=0, 24x+7y=20 and 4x-3y-2=0 are such ...

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  5. The three lines l(1)=4x-3y+2=0,l(2)=3x+4y-4=0 and l(3)=x-7y+6=0

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  6. The point(-4,5) is the vertex of a square and one of its diagonals is ...

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  7. The lines ax+2y+1=0, bx+3y+1=0 and cx+4y+1=0 are concurrent of a,b,c a...

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  8. If the straight lines x+2y-9=0, 3x+5y-5=0 and ax+by-1=0 are concurrent...

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  9. If the lines ax+y+1=0,x+by+1=0 and x+y+c=0 (a,b,c are distinct and ab,...

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  10. The points (-a,-b),(0,0),(a,b) and (a^(2),ab) are

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  11. For what value of k are the points (k ,2-2k)(-k+1,2k)a n d(-4-k ,6,6-2...

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  12. The points (x,2x),(2y,y) and (3,3) are collinear

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  13. If t(1),t(2) and t(3) are distinct, the points (t(1)2at(1)+at(1)^(3)),...

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  14. The equations (b-c)x+(c-a)y+(a-b)=0 and (b^(3)-c^(3))x+(c^(3)-a^(3))y+...

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  15. A,B,C are the points (a,p),( b,q) and (c,r) respectively such that a,b...

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  16. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in GP, with the s...

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  17. The points A(a,b+c),B(b,c+a),C(c,a+b) are

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  18. If a,b,c are all unequal and different from 1 and the points ((t^(3))/...

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  19. If the points (a,b),(c,d) and (a-c,b-d) are collinear, then

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  20. If 25p^(2)+9q^(2)-r^(2)-30pq=0, then a point on the line px+qy+r=0 is

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