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A line passing through (3,4) meets the a...

A line passing through (3,4) meets the axes `bar(OX) and bar(OY)` at A and B respectively. The minimum area of triangle OAB in square units is

A

8

B

16

C

24

D

32

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
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  2. The ends of a rod of length l move on two mutually perpendicu...

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  3. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

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  4. The locus of the midpoint of the portion between the axes of xcosalpha...

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  5. A staight line through the point A(3,4) is such that its intercept bet...

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  6. A line is drawn through the point (1,2) to meet the coordinate axes at...

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  7. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

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  8. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The po...

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  9. Two medians drawn from the acute acute angles of a right-angled triang...

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  10. The equation of the diangonal OB of the rectangle given in the diagram...

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  11. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

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  12. If the equation of the locus of a point equi-distant from the points (...

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  13. The area bounded by the curve : max {absx,asbsy}=5 is

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

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  15. A system of lines is given as y=m1x+c1," where " m1 can take any val...

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  16. The base of a triangle lies along the line x=a and is of length a. The...

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  17. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P with same c...

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  18. A straight line through the point (2, 2) intersects the lines sqrt(3)x...

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  19. AB is a variable lines sliding between the coordinate axes in such a w...

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  20. A line has intercepls a and b on the coordinate axes. When the axes ar...

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