HSC Arts (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions

Answer the following question:

If A = `[(2, -1),(-1, 2)]`, show that A² – 4A + 3I = 0

Answer the following question:

if A = `[(-3, 2),(2, -4)]`, B = `[(1, x),(y, 0)]`, and (A + B)(A – B) = A² – B² , find x and y

Answer the following question:

If A = `[(0, 1),(1, 0)]` and B = `[(0, -1),(1, 0)]` show that (A + B)(A – B) ≠ A² – B² 

Answer the following question:

If A = `[(2, -1),(3, -2)]`, find A³  

Answer the following question:

Find x, y if, `[(0, -1, 4)]{2[(4, 5),(3, 6),(2, -1)] + 3[(4, 3),(1, 4),(0, -1)]} = [(x, y)]`

Answer the following question:

Find x, y if, `{-1 [(1, 2, 1),(2, 0, 3)] + 3[(2, -3, 7),(1, -1, 3)]} [(5),(0),(-1)] = [(x),(y)]`

Answer the following question:

Find x, y, z if `{5[(0, 1),(1, 0),(1, 1)] -3[(2, 1),(3, -2),(1, 3)]} [(2),(1)] = [(x - 1),(y + 1),(2z)]`

Answer the following question:

Find x, y, z if `{[(1, 3, 2),(2, 0, 1),(3, 1, 2)] + 2[(3, 0, 2),(1, 4, 5),(2, 1, 0)]} [(1),(2),(3)] = [(x),(y),(z)]`

Answer the following question:

Two farmers Shantaram and Kantaram cultivate three crops rice,wheat and groundnut. The sale (In Rupees) of these crops by both the farmers for the month of April and may 2008 is given below,

Find The total sale in rupees for two months of each farmer for each crop

Answer the following question:

Two farmers Shantaram and Kantaram cultivate three crops rice,wheat and groundnut. The sale (In Rupees) of these crops by both the farmers for the month of April and may 2008 is given below,

Find the increase in sales from April to May for every crop of each farmer.

Find the value of ¹⁵C₄ 

Find the value of ⁸⁰C₂

Find the value of ¹⁵C₄ + ¹⁵C₅ 

Find the value of ²⁰C₁₆ – ¹⁹C₁₆ 

Answer the following:

A question paper has 6 questions. How many ways does a student have to answer if he wants to solve at least one question?

State the appropriate concept for the given statement.

Principle of equality which states that each one should get an opportunity for development of their individual personality - 

Explain co-relation between the following.

Equality and Justice

Choose the correct alternative and complete the following statement.

The backbone of any administrative system is ______.

Choose the correct alternative and complete the following statement.

Gulick and ______ put forth the acronym POSDCORB.

Identify the incorrect pair in every set, correct it and rewrite.