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Find the equation of the line passing th...

Find the equation of the line passing through the origin and dividing the curvilinear triangle with vertex at the origin, bounded by the curves `y = 2x – x^(2) , y = 0 and x = 1` into two parts of equal area.

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The correct Answer is:
`y = (2x)/3`
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MOTION-AREA UNDER THE CURVE-EXERCISE -3
  1. For what value of 'a' is the area bounded by the curve y=a^2x^2 +ax+...

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  2. Consider the collection of all curve of the form y = a – bx^(2) that p...

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  3. For the curve f(x) = 1/(1+x^(2) , let two points on it are A(alpha, f(...

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  4. Let ‘c’ be the constant number such that c gt 1. If the least area ...

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  5. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

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  6. For what values of a in [0, 1] does the area of the fiqure bounded by ...

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  7. A figure is bounded by the curves y =|sqrt2 sin((pix)/4)|,y=0, x=2&x=4...

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  8. The line 3x +2y=13 divides the area enclosed by the curve, 9x^2+4y^2-1...

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  9. Find the area bounded by the curve y = xe^(-x^2) , the x-axis, and the...

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  10. A polynomial function f(x) satisfies the condition f(x+1)=f(x) + 2x + ...

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  11. Find the equation of the line passing through the origin and dividing ...

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  12. Consider the curve y=x^n where n > 1 in the 1^st quadrant. Ifthe areab...

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  13. In the adjacent figure the graph of two function y=f(x) and y=sin x ar...

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  14. If An be the area bounded by the curve y=(tanx^n) ands the lines x=0,\...

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  15. Find the whole area included between the curve x^2)y^(2) = a^(2)(y^(2)...

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  16. Let C(1 )and C(2) be two curves passing through the origin as shown in...

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  17. Consider the two curves y = 1//x^(2) and y = 1//[4(x-1)]. At what v...

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  18. If A = [[ln(a-1),0],[0,ln(b-1)]], then A^(-1) is :

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  19. If z is a complex number such that z = ln(a – 1) + iln (b – 1) then ar...

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  20. {:(,"Column - I", "Column - II"),("(A)" ,"The area bounded by curve","...

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