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Write `A^-1` for `A=[(2,5),(1,3)]`

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The adjoint of the matrix [(2,5),(3,1)] is (A) [(2,5),(3,1)] (B) [(1,-5),(-3,2)] (C) [(1,-3),(-5,2)] (D) [(-1,3),(5,-2)]

Write the minors and co-factors of each elements of the first column of the matrix A A=[(1,-3,2),(4,-1,2),(3,5,2)]

If the mappings f and g are given by : f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)} , write fog.

If f:{1,3} rarr {1,2,5} "and " g:{1,2,5} rarr{1,2,3,4} be given by f={(1,2),(3,5)}, g={(1,3),(2,3),(5,1)} , write g of.

Let f:{1,3,4}rarr{1,2,5} and g:{1,2,5}rarr{1,3} be given by f={(1,2),(3,5),(4,1)} and g={(1,3),(2,3),(5,1)}. Write down gof.

If the mappings f and g are given by f = {(1,2),(3,5),(4, 1)}, g= {(2,3), (5, 1), (1,3)}, then write down pairs in the mappings f o g and go f.

If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write down pairs in the mapping fog and gof.

If |A|=3 and A^(-1)=[[3-1-(5)/(3)(2)/(3)]] then write the adj A

If [(1, 2),( 3, 4)][(3, 1),( 2, 5)]=[(7, 11),( 23, k)] , then write the value of kdot

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value of int(dx)/(x^2+16)

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  2. For what value of x, the matrix [(5-x,x+1),(2,4)] is singular?

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  3. Write A^-1 for A=[(2,5),(1,3)]

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  4. For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a h...

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  5. Write the direction cosines of the vector -2 hat i+ hat j-5 hat k

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  6. The length x of a rectangle is decreasing at the rate of 5 cm/minut...

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  7. Find the intervals in which the function f given f(x)=\ sin x+cosx ,\...

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  8. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

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  9. Suppose a girl throws a dice. If she gets 5 or 6 she tosses a coin thr...

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  10. A dietician wishes to mix two types of foods in such a way that the...

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  11. Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) ...

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  12. Find the coordinates of the point where the line through the points...

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  13. Two cards are drawn simultaneously (without replacement) from a wel...

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  14. Using matrices, solve the following system of equations: 2x+3y+3z=5;...

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  15. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  16. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1-(z-3)...

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  17. Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...

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  18. Write the value of tan(2tan^-1(1/5)) .

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  19. Find (dy)/(dx)\ if (x^2+y^2)^2=x y

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  20. If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...

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