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If alpha beta gt 0, ab gt 0 and the vari...

If `alpha beta gt 0, ab gt 0` and the variable line `(x)/(a), (y)/(b)=1` is drawn through the given point `P(alpha, beta)`, then the least area of the triangle formed by this line and the co-ordinate axes is :

A

`2alpha beta `

B

`3alpha beta`

C

`alpha beta`

D

None of these

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The correct Answer is:
A
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MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
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  2. If a, b, c are the pth, qth and rth terms of an H.P., then the lines b...

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  3. If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 i...

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  4. A ray of light coming from the point (1, 2) is reflected at a point A ...

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  5. If two vertices of an equilateral triangle have integral co-ordinates,...

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  6. Let A(1, 2) and B(3, 4) be two points. Let C(x, y) be a point such th...

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  7. If p, p' be the lengths of perpendicular from (0, 0) on the lines: x...

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  8. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

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  9. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

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  10. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

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  11. The position of a moving point in XY-plane at time t is given by (u co...

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  12. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

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  13. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

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  14. The equation of base of an equilateral triangle is x+y=2 and vertex is...

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  15. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at 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 equation of the locus of a point equidistant from the points (a...

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  18. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

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  19. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

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  20. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

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