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A member of the family of lines `(x+ y -1) + lambda(2x +3y-2) =0, lambda in R` intersects a member of the family of lines `(ax+y-2) + alpha(bx + 4y-5) = 0, alpha in R` , at a fixed point. The ordered pair (a, b) is

A

(2,5)

B

(1,2)

C

(1,0)

D

none of these

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The correct Answer is:
A
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FIITJEE-STRAIGHT LINE -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. A member of the family of lines (x+ y -1) + lambda(2x +3y-2) =0, lambd...

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  2. P is a point lying on line y = x then maximum value of |PA - PB|, (whe...

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  3. Locus of point of intersection of the perpendicular lines one belongin...

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  4. A (-3,4) , B (5,4) , C and D form a rectangle X - 4y+7=0 is a diameter...

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  5. The triangle ABC, right angled at C, has median AD, BE and CF, AD lies...

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  6. A line passes through (1,0). The slope of the line, for which its inte...

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  7. If a , b , c are in A.P ., then the equation 2ax+by +3c = 0 always pa...

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  8. A line through the point (-a,0) cuts from the second quadrant a triang...

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  9. The distance of the point (x,y) from the origin is defined as d = max ...

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  10. The vertex A of a triangle ABC is the point (-2,3) . Whereas the line ...

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  11. The orthocentre of a trianlge whose vertices are (0,0) , (sqrt3,0) and...

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  12. The equation of the diagonal through origin of the quadrilateral forme...

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  13. Let a x+b y+c=0 be a variable straight line, whre a , ba n dc are the ...

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  14. The reflection of the point (t - 1,2t+ 2) in a line is (2t + 1,t), the...

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  15. The equaiton of the lines representing the sides of a triangle are 3x ...

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

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  17. The three lines 4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 form the sid...

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  18. If (-6,-4) and (3,5) are the extremities of the diagonal of a parall...

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  19. Area of the triangle formed by the line x+y=3 and angle bisectors of t...

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  20. If the centroid of the triangle formed by the lines 2y^2+5xy-3x^2=0 an...

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