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If r=|2^r 2.3^r-1 4.5^r-1alphabetagamma2...

If `_r=|2^r 2.3^r-1 4.5^r-1alphabetagamma2^n-1 3^n-1 5^n-1|` , then find the value of `dot`

A

`alpha beta gamma`

B

`2^(n) alpha + 2^(n) beta + 4^(n) gamma`

C

`2 alpha + 3 beta + 4 gamma`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise
  1. If A, B, C are the angles of a triangle, then the determinant Delta ...

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  2. The determinant Delta =|{:(a^(2)+x,,ab,,ac),(ab,,b^(2)+x,,bc),(ac,,bc...

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  3. If r=|2^r 2.3^r-1 4.5^r-1alphabetagamma2^n-1 3^n-1 5^n-1| , then find ...

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  4. Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,...

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  5. Let Delta(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4m-2),((a-1)^(3),3n^(3)...

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  6. if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...

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  7. For x ne y ne z , |{:(1+x^(3),,x^(2),,1),(1+y^(3),,y^(2),,1),(1+z^(3...

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  8. " if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+a),(c+a,,a+b,,b+c):}|=k |{:(a...

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  9. If A is a square matrix of order n such that its elements are polynomi...

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  10. Prove the identities: |{:(b^(2)+c^(2),,ab,,ac),(ab,,c^(2)+a^(2),,bc),...

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  11. a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...

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  12. If alpha,beta,gamma are real numbers, then without expanding at any...

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  13. If A,B,C are the angles of triangle ABC, then the minimum value of |{:...

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  14. If x, y , z are in A.P., then the value of the det (A) is , where A ...

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  15. Find the number of real root of the equation |0x-a x-b x+a0x-c x+b x+c...

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  16. If a , b , c are distinct, then the value of x satisfying |0x^2-a x^3-...

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  17. Let the following system of equations {:(kx+y+z=1),(x+ky+z=k),(x+y+k...

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  18. Show that: |b^2+c^2a b a c b a c^2+a^2b c c a c b a^2+b^2|=4a^2b^2c^2

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  19. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

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  20. If B is a non-sinfular matrix and A is square matrix, then det B^(-1)A...

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