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If the straight lines x+y-2-0,2x-y+1=0 a...

If the straight lines `x+y-2-0,2x-y+1=0` and `a x+b y-c=0` are concurrent, then the family of lines `2a x+3b y+c=0(a , b , c` are nonzero) is concurrent at (a) `(2,3)` (b) `(1/2,1/3)` (c) `(-1/6,-5/9)` (d) `(2/3,-7/5)`

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Let P be (5,3) and a point R on y=x and Q on the x-axis such that PQ+O...

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  2. Given A(0,0) and B(x,y) wih x in (0,1) " and " y gt 0. Let the slope o...

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  3. If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent,...

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  4. The equaiton of the lines through the point (2, 3) and making an inter...

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  5. A beam of light is sent along the line x-y=1 , which after refracting ...

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  6. Find alpha if (alpha, alpha^2) lies inside the triangle having sides a...

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  7. A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0...

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  8. If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), ...

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  9. The point (2,1) , translated parallel to the line x-y=3 by the distanc...

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  10. Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendic...

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  11. The area enclosed by 2|x|+3|y|lt=6 is (a) 3 sq. units (b) 4 sq. uni...

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  12. The lines y=m1x ,y=m2xa n dy=m3x make equal intercepts on the line x+...

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  13. Find the condition in a,b such that the portion of the line ax+by=1, i...

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  14. One diagonal of a square is along the line 8x-15y=0 and one of its ver...

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  15. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

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  16. A square of side a lies above the x-axis and has one vertex at the ori...

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  17. If the sum of the distances of a point from two perpendicular lines i...

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  18. A B C is a variable triangle such that A is (1, 2), and Ba n dC on the...

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  19. Consider a DeltaABC in which sides AB and AC are perpendicular to x-y...

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  20. Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2...

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