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Show that the vectors vec a , vec b and...

Show that the vectors ` vec a , vec b` and` vec c` are coplanar if ` vec a+ vec b , vec b+ vec c` and ` vec c+ vec a` are coplanar.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  2. Find the general solution of the following differential equation : (1...

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  3. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

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  4. Find the vector and Cartesian equations of the line through the point ...

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  5. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

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  6. Find the values of p and q , for which f(x)={(1-sin^3x)/(3cos^2x)p(q(1...

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  7. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  8. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  9. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  10. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  11. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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  12. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) wrt sin ^(-1)((2x)/(1+x^2))d...

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  13. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  14. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  15. Find the values of a and b , if the function f defined by f(x)={x^...

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  16. A coaching institute of English (subject) conducts classes in two batc...

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  17. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

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  18. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

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  19. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

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  20. If | vec ax vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then writ...

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