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Through the point `P(alpha,beta)` , where `alphabeta>0,` the straight line `x/a+y/b=1` is drawn so as to form a triangle of area `S` with the axes. If `a b >0,` then the least value of `S` is `alphabeta` (b) `2alphabeta` (c) `3alphabeta` (d) none

A

`2 alpha beta`

B

`1//2 alphabeta`

C

`alphabeta`

D

none of these

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The correct Answer is:
A
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FIITJEE-STRAIGHT LINE -SOLVED PROBLEMS (OBJECTIVE)
  1. The value of k for which the equation 2x^2+5y^2-2ky+4x+6y=0 represent ...

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  2. Triangle ABC lies in the Cartesian plane and has an area of 70 sq. uni...

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  3. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

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  4. The equation of smaller circle of radius sqrt3-1 in l^(st) quadrant ha...

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  5. The coordinates of the points (s) on the line x + y = 5 , which is/ ar...

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  6. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

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  7. ABCD is a rectangle with A(-1,2) , B (3,7) and AB : BC = 4 : 3 . If d ...

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  8. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  9. Two consecutive sides of a parallelogram are 4x+5y=0a d n7x+2y=0. If t...

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  10. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

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  11. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

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  12. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

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  13. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

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  14. Statement -1 : The lines ai x + bi y + c i=0,i={1,2,3} are concurrent ...

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  15. Statement -1 : The minimum value of (x2-x1)^2+(sqrt(1+x1^2)-sqrt(4-x2^...

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  16. Given four parallel lines L1,L2,L3 and L4 Let the distacnes between th...

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  17. Match the following :

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  18. Match the following colum -I with column - II.

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  19. A = (4, 2) and B = (2, 4) are two given points and a point P on the li...

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  20. Let A (4,2) and B (2,4) be two given point and L be the straight line ...

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