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Evaluate (5!)/(1! 3!) × (7!)/(6! 3!)...

Evaluate `(5!)/(1! 3!) × (7!)/(6! 3!)`

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Using appropriate properties find : (2)/(5) xx ((-3)/(7)) - (1)/(6) xx (3)/(2) + (1)/(14) xx (2)/(5) = (2)/(5) xx ((-3)/(7)) + (1)/(14) xx (2)/(5) - (1)/(cancel6) xx (cancel 3)/(2) = (2)/(5) xx ((-3)/(7) + (1)/(14) ) - (1)/(4) = (2)/(5) xx ((-6+1)/(14))- (1)/(4) = (cancel 2)/(cancel 5) xx (-cancel 5)/(cancel14) - (1)/(4) = (-1)/(7) - (1)/(4) (- 4 - 7)/(28) = (-11)/(28)

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

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  2. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

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  3. Evaluate (5!)/(1! 3!) × (7!)/(6! 3!)

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  4. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

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  5. Evaluate (3!)/(2! 2!) × (8!)/(7! 4!)

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  6. Find the value of (2! + 3! - 1!)

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  7. Find the value of (10!)/(6! × 3! × 5!)

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  8. Solve : 1/(x + 1) + 4/(3x + 6) = 2/3

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  9. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  10. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  11. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  12. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

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  13. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

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  14. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

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  15. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  16. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  17. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  18. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  19. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  20. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

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