Home
Class 12
MATHS
If C = 2 cos theta, then the value of th...

If `C = 2 cos theta`, then the value of the determinant `Delta = |(C,1,0),(1,C,1),(6,1,c)|`, is

A

`(2sin^(2)2theta)/(sintheta)`

B

`8cos^(3)theta-4costheta+6`

C

`(2sin2theta)/(sintheta)`

D

`8cos^(3)theta+4costheta+6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |13 Videos
  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos
  • DIFFERENTIAL COEFFICIENTS

    BITSAT GUIDE|Exercise BITSAT Archives|17 Videos

Similar Questions

Explore conceptually related problems

Without expanding evaluate the determinant "Delta"=|(1, 1, 1),(a, b, c),( a^2,b^2,c^2)| .

" 0.The value of the determinant "|[1,x,x^(2)],[1,b,b^(2)],[1,c,c^(2)]|" is: "

The value of the determinant |{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c, c^(2)-ab):}| is…..

If a,b,c are unequal then what is the condition that the value of the following determinant is zero Delta =|(a,a^2,a^3+1),(b,b^2,b^3+1),(c,c^2,c^3+1)|

The value of Delta = |(1,a,b +c),(1,b,c +a),(1,c,a +b)| , is

In a Delta ABC , a, b, c are sides and A, B, C are angles opposite to them, then the value of the determinant |(a^(2),b sin A,c sin A),(b sin A,1,cos A),(c sin A,cos A,1)| , is

The greatest value of n for which the determinant Delta = |(1,1,1),(.^(n)C_(1),.^(n+3)C_(1),.^(n+6)C_(1)),(.^(n)C_(2),.^(n+3)C_(2),.^(n+6)C_(2))| is divisible by 3^(n) , is

Show that DeltaABC is an isosceles triangle, if the determinant Delta=|(1,1,1),(1+cosA,1+cosB,1+cosC),(cos^(2)A+cosA,cos^(2)B+cosB,cos^(2)C+cosC)|=0 .

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

If Delta=|[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]| and A_1,B_1,C_1 denote the co-factors of a_1, b_1, c_1 respectively, then the value of the determinant |[A_1,B_1,C_1],[A_2,B_2,C_2],[A_3,B_3,C_3]| is-