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Two schools, P and Q, want to award their selected students for the values of sincerity, truthfulness and hard work at the rate of `

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Two schools P and Q want to award their selected students on the values of sincerity, truthfulness and hard work at the rate of Rs x, Rs y and Rs z for each respective value per person. The school P awards its 2,3 and 4 students on the above respective values with a total prize money of Rs 4,600. School Q wants to to award its 3, 2 and 3 students on the respective values with a total award money of Rs 4,100. If the total amount of award money for one prize on each value is Rs 1,500, using matrices, find the award money for each value. Suggest one other value which the school can consider for awarding the students .

Two schools A and B want to awad their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award ₹ x each , ₹y each and ₹z each for the three respective values to 3,2 and 1 students respectively with a total award money of ₹1600 . School B wants to spend ₹2300 to award its 4,1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount of award for one prize on each value is ₹900 , using matrices, find the award money for each value.

Two schools P and Q want to award their selected students on the values of Discipline, politeness and punctuality. The school P wants to awards Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1000. School Q wants to spend Rs 1500 to award its 4, l and 3 students on the respective values (by giving the same award money for the three values before) If the total amount of awards for one prize on each value is Rs. 600, using matrices, find the award money for each value. Apart from the above three values suggest one more value for awards.

Two schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of R sdotx ,R sdoty and R sdotz per student respectively. School A , decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively while school B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then (i) Represent the above situation by a matrix equation after forming linear equations. (ii) Is it possible to solve the system of equations so obtained using matrices ? (iii) Which value you prefer to be rewarded most and why ?

Two schools P and Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs. 2,200. School Q wants to spend Rs. 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is Rs. 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Two schools A and B decided to award prizes to their students for three values honesty (x) , puntuality (y) and obedience (z) . School A decided to award a total of ₹11000 for the three values to 5,4 and 3 students respectively while school B decided to award ₹10700 for the three values to 4,3 and 5 students respectively. If all the three prizes together amount to ₹2700 , then : (i) Represent the above situation by a matrix equation and form linear equations, using matrix multiplication. (ii) Is it possible to solve the system of equations so obtained, using matrix multiplication?

Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The minor of element 6 in the determinant |{:(1,2,3),(4,5,6),(7,8,9):}| is :

Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The cofactor matrix of the determinant | {:(-1, 4),(9,2):}| is :

A school wants to award its students for the value of honesty, regularity and hard work will total cash award of Rs. 6000. Three times the award money for hard work added to that added to that given for honesty amounts to Rs. 11000. The award money given for honesty and hard work together is double the one given for regularity. Represent the above situation algebraically and find the award money for each value, using matrix method.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the unit vector perpendicular to plane ABC where the position vec...

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  2. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

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  3. Two schools, P and Q, want to award their selected students for the...

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  4. Using properties of determinants, prove the following : |[b+c, a ,a]...

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  5. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  6. Write the equation of the straight line through the point (alpha,beta,...

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  7. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  8. Find the value of the constant k so that the function f , defined belo...

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  9. The sides of an equilateral triangle are increasing at the rate of ...

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  10. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

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  11. Find the particular solution of the differential equation x(dy)/(dx)=y...

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  12. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

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  13. Using properties of determinants, prove that |[2y,y-z-x,2y],[2z,2z, ...

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  14. Write the vector equation of the plane, passing through the point (...

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  15. Let A={1,2,3,...,9} and R be the relation in A xx A defined by (a , b)...

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  16. Evaluate : int(x-3)sqrt(x^2+3x-18)dx

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  17. Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

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  18. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  19. A dealer in rural area wishes to purchase a number of sewing machin...

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  20. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bu...

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