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A trust fund has Rs. 35,000 is to be inv...

A trust fund has Rs. 35,000 is to be invested in two different types of bonds. The first bond pays 8% interest per annum which will be given to orphanage and second bond pays 10% interest per annum which will be given to an N.G.O. (Cancer Aid Society). Using matrix multiplication, determine how to divide Rs. 35,000 among two types of bonds if the trust fund obtains an annual total interest of Rs. 3,200. What are the values reflected in this question ?

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A trust invested some money in two types of bonds.The first bond pays 10% interest and second bond pays 12% interest.The trust received Rs.2,800 as interest.However,if trust had interchanged money in bonds,they would have got Rs.100 less as interest.Using matrix method,find the amount invested by the trust.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-...

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  3. A trust fund has Rs. 35,000 is to be invested in two different types o...

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  5. In the interval 2/pi<x<pi, find the value of x for which the matrix (2...

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  6. Write the vector equation of the line passing through (1,2,3) and pe...

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  7. Express the matrix A=[2 4-6 7 3 5 1-2 4] as the sum of a symmetric and...

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  8. Write the direction ratios of the vector 3 vec a+2 vec b where vec a=...

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  9. Find the vector and cartesian equations of the plane passing through t...

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  10. Solve the differential equation (dy)/(dx)-3ycotx=sin2x given y=2 when ...

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  11. Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0

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  12. Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

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  13. Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dxdot

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  14. Find : intx/((x^2+1)(x-1))dx

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  15. Find the areas of the region {x , y}: y^2lt=4x ,4x^2+4y^2lt=9}, using ...

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  16. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

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  17. Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on th...

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  18. If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-((m+n)dy)/(dx)+m n y...

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  19. Find : int(x+3)/(sqrt(5-4x-2x^2))dx

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  20. Find the shortest distance between the following lines: vec r=2 hat i...

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