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The number of distinct real roots of |s ...

The number of distinct real roots of `|s in x cos x cos x cos x s in x cos x cos x cos x s in x|=0` in the interval `-pi/4lt=xlt=pi/4` is `0` b. `2` c. `1` d. `3`

A

0

B

2

C

1

D

3

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The correct Answer is:
C
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FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. Delta=|{:(1+a^2+a^4,1+ab+a^2b^2,1+ac+a^2c^2),(1+ab+a^2b^2,1+b^2+b^4,1+...

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  2. If A(x1, y1), B (x2, y2) and C (x3, y3) are the vertices of a DeltaABC...

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  3. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

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  4. If f(x) =("In"x)/x "then" |{:("In"x,x,0),(1//x,1,x),(-1//x^2,0,2):}| i...

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  5. Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...

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  6. If Ir^2+mr^2+nr^2=1 where r=1,2,3 and I1I2+m1m2+n1n2=0 …..etc. then ...

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  7. If alpha is a root of x^4 = 1 with negative principal argument then th...

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  8. If a, b gt 0 and Delta (x)|(x,a,a),(b,x,a),(b,b,x)|, then

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  9. If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x...

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  10. The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-s...

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  11. The system of equation 102x-95y+88z=81,3x+10y+17z=24, 57x+50y+43z=36 h...

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  12. IF ax^3+bx^2+cx+d=|(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), ...

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  13. In a Delta ABC |[1,1,1],[1+sinA,1+sinB,1+sinC][sinA+sin^2A,sinB+sin^2B...

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  14. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

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  15. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  16. If D=|{:(2,1,[sin^2theta]),([sin^2theta],costheta,i),(i,1,sintheta):}|...

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  17. If alpha is a root of x^4 = 1 with negative principal argument then th...

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  18. If Delta(x)=|((e^x,sin2x,tanx^2)),((In(1+x),cosx,sinx)),((cosx^2,e^x-1...

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  19. Let x1y1z1,x2y2z2 and x3y3z3 be three 3-digit even numbers and Delta=|...

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  20. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

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