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Using the property of determinants,show ...

Using the property of determinants,show
that the points `A(a,b+c),B(b,c+a),
C(c,a+b)` are collinear.

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the equation of the line joining the points(1,2) and (-3,-2) us...

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  2. Find the values of x in which abs[[3,x],[x,1]]=abs[[3,2],[4,1]]

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  3. Using the property of determinants,show that the points A(a,b+c),B(b...

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  4. Examine the consistency of system of following equations: 5x-6y+4z...

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  5. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Find abs[A]

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  6. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Find A^-1

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  7. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Solve the linear equations 3x-2y...

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  8. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 410...

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  9. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 4...

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  10. Write the value of x+y+z, if [(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(...

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  11. Using properties of determinants prove the following. abs[[b+c,a,...

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  12. Consider the points (b,c+a),(c,a+b) and (a,b+c). Find the area of the ...

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  13. Consider the points (b,c+a),(c,a+b) and (a,b+c). Are the given points ...

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  14. If Delta=[(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)] Perform R1rarrR1+...

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  15. If Delta=[(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)]Perform R1rarrR1+R...

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  16. Using properties of determinants prove the following. abs[[a-b-c,...

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  17. Given Delta=[(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)] Express given ...

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  18. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

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  19. Find the equation of line joining (1,2) and (3,6) using determinants.

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  20. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

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