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If Delta(x)= |(e^(x), "sin"2x, "tan" x^(...

If `Delta(x)= |(e^(x), "sin"2x, "tan" x^(2)),("ln"(1+x),"cos"x,"sin"x),("cos"x^(2),e^(x)-1,"sin" x^(2))| = A + B x + Cx ^(2) + .....` then B =

A

0

B

1

C

2

D

None of these

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The correct Answer is:
A
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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 43 -MATHEMATICS
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  2. The greatest and the least value of | z (1) + z (2)| if z (1) = 24 + ...

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  3. If Delta(x)= |(e^(x), "sin"2x, "tan" x^(2)),("ln"(1+x),"cos"x,"sin"x),...

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  4. In a regular decagon, the probability that the two diagonal chosen at ...

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  5. Let f (x) = (x ^(2) - 5x +4) (x ^(2) + 5x +4) and alpha, beta, gamma (...

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  6. If sum ( r =1) ^( oo) tan ^(-1) (( 4)/( r ^(2) + r + 16)) = tan ^(-1...

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  7. For any two real numbers theta and phi, we defined theta R phi as sin...

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  8. Let AB be the chord of constant of the point (5, -5) w.r.t the circe x...

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  9. The eccentricity of the hyperbola x ^(2) - 3 y ^(2) - 2x - 8 = 0 is

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  10. The point (2a, a ) lies inside the region bounded by the parabola x ^(...

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  11. Let A be (100, 50) , a point B on the line y = x and point C on x-axis...

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  12. If the line (x - 2)/( 3) = (y +1)/(2) = (z -1)/(-1) intersects the pla...

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  13. If veca = veci + vecj + veck, vecb= 4 veci + 3 vecj + 4 veck and vec...

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  14. If f (x) = || sin (|x| - 2) | - 3|, then

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  15. Let f be a composite function of x defined by f (u) = (1)/( u ^(2) +...

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  16. int ( 3e ^(x) -5e ^(-x))/( 4e ^(x) + 5e ^(-x)) = ax + b ln then (4e ...

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  17. Let f (x+y) = f (x). f (y) for all x and y and f (1) = 2 . If in a tri...

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  18. Let f (x) = sin x + 2 sin^(2) x + 3 sin ^(3) x + 4 sin ^(4) x + .... o...

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  19. If theta = sin ^(-1) ((4)/(5)) + sin ^(-1) ((1)/(3)) and theta (2) = c...

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  20. If p is true and q is false then which of the following is having its ...

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