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Evaulate |{:(cos15^@,sin 15^@),(sin75^@,...

Evaulate `|{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|`

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ARIHANT PUBLICATION-DETERMINANTS -PART -1 QUESTION FOR PRACTICE
  1. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

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  2. Evaluate |{:(sec theta,-tan theta),(-tan theta, sec theta):}|

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  3. Evaulate |{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|

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  4. Evaluate |{:(log3 512,log4 3),(log3 8, log4 9):}|

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  5. If |{:(2x,5),(8,x):}|=|{:(6,-2),(7,3):}| then find the value of x.

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  6. IF |{:(2x,x+3),(2(x+1),x+1):}|=|{:(1,3),(-1,1):}| then find the value ...

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  7. IF A=[(2,3),(3,-1):}]and B=[(1,3),(-1,1):}] then write the value of |...

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  8. IF there are two values of a which makes determinant Delta=|{:(1,-2,5)...

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  9. Evaluate |{:(cosa cos beta, cos a sin beta, -sin a),(-sin beta, cos be...

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  10. Let A be a square matrix of order 3 times 3 Write the value of |2A| wh...

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  11. IF A is 3 times 3 matrix |A| ne 0 and |3A|=k|A| then find the value of...

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  12. Without expanding,show that the following determinant vanishes. abs ((...

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  13. Write the value of Delta=|{:(x+y,y+z,z+x),(z,x,y),(-3,-3,-3):}|

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  14. Show that |{:(a,b,c),(a+2x,b+2y,c+2z),(x,y,z):}|=0

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  15. Write the value of |[2,7,65],[3,8,75],[5,9,86]|

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  16. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  17. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  18. IF cos 2 theta=0 then simplify |{:(0,cos theta, sin theta),(cos theta,...

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  19. Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...

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  20. using the properties of determinants prove that |{:(1,x+y,x^2+y^2),(...

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