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For all real values of a and b lines (2a...

For all real values of a and b lines `(2a+b)x + (a+3b)y+(b-3a)=0` and mx+2y+6=0 are concurrent, then m is equal to

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. The equation of the lines passing through the point (1,0) and at a dis...

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  2. The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3...

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  3. For all real values of a and b lines (2a+b)x + (a+3b)y+(b-3a)=0 and mx...

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  4. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

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  5. The absolute value of the sum of the abscissas of all the points on th...

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  6. The point (x , y) lies on the line 2x+3y=6. The smallest value of the ...

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  7. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

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  8. One of the diagonals of a square is the portion of the line x/2+y/3=2 ...

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  9. Two sides of a triangle are along the coordinate axes and the medians ...

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  10. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then ...

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  11. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A lie...

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  12. If the straight lines 2x+3y-1=0,x+2y-1=0,and ax+by-1=0form a triangle ...

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  13. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

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  14. If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...

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  15. In a triangle A B C , the bisectors of angles Ba n dC lies along the l...

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  16. If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the fam...

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  17. P(m , n) (where m , n are natural numbers) is any point in the interio...

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  18. A diagonal of rhombus A B C D is member of both the families of lines ...

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  19. A regular polygon has two of its consecutive diagonals as lines sqrt(3...

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  20. Find the locus of the circumcenter of a triangle whose two sides are a...

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