Home
Class 12
MATHS
Each question has four choices, a,b,c an...

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. (a) If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. (b) If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. (c) If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. (d) If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: `inte^xsinx dx=(e^x)/2(sinx-cosx)+c` Statement 2: `inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Each question has four choices a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1 If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1 : The area bounded by y=e^x , y=0a n dx=0 is 1 sq. unites. Statement 2 : The area bounded by y=(log)_e x ,x=0,a n dy=0 is 1 sq. units.

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statement are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FLASE. If STATEMENT 1 is FALSE and STATEMENT 2 is TURE. Statement 1: Lagrange mean value theorem is not applicable to f(x)=|x-1|(x-1) Statement 2: |x-1| is not differentiable at x=1.

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. (a)Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. (b)Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. (c) STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. (d) STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: |a d j(a d j(a d j A))|-|A|^(n-1)^3 , where n is order of matrix Adot Statement 2: |a d jA|=|A|^ndot

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: |a d j(a d j(a d j A))|=|A|^(n-1)^3 , where n is order of matrix Adot Statement 2: |a d jA|=|A|^ndot

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: if A ,B ,C are the angles of a triangles and |[1, 1, 1], [ 1+sin A ,1+sinB, 1+sin C], [ sin A+sin^2A, sin B+sin^2B,sin C+sin^2C]|=0 , then triangle may not be equilateral Statement 2: if any two rows of a determinant are the same, then the value of that determinant is zero.

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: The value of (^(10)^C_0)+(^(10)C_0+(10)C_1)+(^(10)C_0+(10)C_1+(10)C_2)++(^(10)C_0+(10)C_1+(10)C_2++(10)C_9) is 10 2^9 . Statement 2: ^n C_1+2^n C_2+3^n C_3+ n^n C_n=n2^(n-1) .

STATEMENT -1: E_(cell)^(@) is negative for electrolytic cell. STATEMENT-2: /_\G^(@) is +ve for electrolyte cell (a) If both the statements are TRUE and STATEMENTS-2 is the correct explantion of STATEMENTS-1 (b)If both the statements are TRUE but STATEMENTS-2 is NOT the correct explanation of STATEMENTS-1 (c)If STATEMENTS-1 is TRUE and STATEMENTS-2 is FALSE (d)If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Statment 1 |Delta_(f)H|" of "(H_(2)O,l)gt|Delta_(f)H|" of "(H_(2)O,g) Statment 2 DeltaH_("condensation") is negative. (a)If both the statements are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1 (b)If both the statements are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1 (c)If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE (d)If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Each question has four choices a, b, c, and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and statement 2 is the correct explanation of Statement 1. Both the statements are TRUE but Statement 2 is NOT the correct explanation of Statement 1. Statement 1 is TRUE and Statement 2 is FALSE. Statement 1 is FALSE and Statement 2 is TRUE. Statement 1: For events Aa n dB of sample space if P(A/B)geqP(A) , then P(B/A)geqP(B)dot Statement 2: P(A/B)=(P(AnnB))/(P(B)) , (P(B)!=0)dot

Statement 1: Leg f(x)=x[x]a n d[dot] denotes the greatest integral function, when x is not an integer, then rule for f^(prime)(x) is given by [x]dot Statement 2: f^(prime)(x) does not exist for any x integer. (a)Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. (b)Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. (c)STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. (d)STATEMENT 1 is FALSE and STATEMENT 2 is TRUE.

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a)f(x) is an...

    Text Solution

    |

  2. int (dx)/((x+1)(x-2))=A log (x+1)+B log (x-2)+C, where

    Text Solution

    |

  3. Each question has four choices, a,b,c and d, out of which only one i...

    Text Solution

    |

  4. If int(x^2-x+1)/((x^2+1)^(3/2))e^x dx=e^xf(x)+c, then (a) f(x) is an ...

    Text Solution

    |

  5. Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n both f...

    Text Solution

    |

  6. If intsin^(-1)xcos^(-1)xdx=f^(-1)(x) [π/2x-xf^(-1)(x)-2sqrt(1-x^2)]+2...

    Text Solution

    |

  7. If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n (a)A=-1/8 (b) B=1/...

    Text Solution

    |

  8. Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement...

    Text Solution

    |

  9. Statement 1: int(sinxdx)/x ,(x >0), cannot be evaluated. Statement 2:...

    Text Solution

    |

  10. int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx=A x+Blog(9e^(2x)-4)+C ,t h e n A= ...

    Text Solution

    |

  11. The value of the integral int(cos^3x+cos^5x)/(sin^2x+sin^4x)dxi s si...

    Text Solution

    |

  12. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

    Text Solution

    |

  13. Evaluate: for m in N , intx^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

    Text Solution

    |

  14. Evaluate: int(cos^4x)/(sin^3x(sin^5x+cos^5x)^(3/5))dx

    Text Solution

    |

  15. Evaluate: int sqrt(1+cosec x) dx ,(0 < x < pi/2)

    Text Solution

    |

  16. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  17. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

    Text Solution

    |

  18. Evaluate: int(dx)/(x^3sqrt(x^2-1))

    Text Solution

    |

  19. Evaluate : int(2x)/((1-x^2)sqrt(x^4-1))dx

    Text Solution

    |

  20. Evaluate: intsqrt(secx-1)dx

    Text Solution

    |