Home
Class 11
MATHS
Statement 1 is True: Statement 2 is True...

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If `A` is obtuse angle I ` A B C ,` then `tanB\ t a n C<1` because Statement II: In ` A B C ,\ t a n A=(t a n B+t a n C)/(t a n B t a n C-1)\ ` a.`A` b. `\ B` c.`\ C` d. `D`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|114 Videos

Similar Questions

Explore conceptually related problems

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If s intheta+cos e ctheta=2,\ t h e nsin^ntheta=cos e c^ntheta=2^n because Statement II: If \ a+b=2,\ a b=1, then a=b=1\ a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If (log)_(((log)_5x))5=2,\ t h n\ x=5^(sqrt(5)) Statement II: (log)_x a=b ,\ if\ a >0,\ t h e n\ x=a^(1//b) a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If a=y^2,\ b=z^2, c=x^2,\ t h e n8(log)_a x^3dot(log)_b y^3dot(log)_c z^3=27 Statement II: (log)_b adot(log)_c b=(log)_c a ,\ also (log)_b a=1/("log"_a b) a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: cos^3alpha+cos^3(alpha+(2pi)/3)+(alpha+(4pi)/3)=2cosalphacos(alpha+(2pi)/3)cos(alpha+(4pi)/3) because Statement II: In a+b+c=0=>a^3+b^3+c^3=3a c a. A b. \ B c. \ C d. D

Statement I is True: Statement II is True; Statement II is a correct explanation for statement I Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. Statement I is true, statement II is false Statement I is false, statement II is true Statement I: if r ,\ s\ &\ t be the roots of the equation : x(x-2)(3x-7)=2,\ t h e ntan^(-1)r+tan^(-1)s+tan^(-1)t=3pi//4 because Statement II: The roots of the equation x(x-2)(3x-7)=2 are real & negative. a. A b. \ B c. \ C d. D

A.Statement I is True: Statement II is True; Statement II is a correct explanation for statement I B.Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. C.Statement I is true, statement II is false D.Statement I is false, statement II is true Statement I: cos e s^(-1)(cos e c9/5)=pi-9/5dot because Statement II: cos e c^(-1)(cos e c x)=pi-x :\ AAx in [pi/2,(3pi)/2]-{pi} a. A b. \ B c. \ C d. D

Statement I is True: Statement II is True; Statement II is a correct explanation for statement I Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. Statement I is true, statement II is false Statement I is false, statement II is true Statement I: Range of cos(sec^(-1)(1/x)+cos e c1/xtan^(-1)x)i s\ [-1/(sqrt(2)),1/(sqrt(2))] because Statement II: Range of sin^(-1)x+tan^(-1)x+cos^(-1)x\ i s\ [pi/4,(3pi)/4] a. A b. \ B c. \ C d. D

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation (logx)^2+logx^2-3=0 has two distinct solutions. Statement-2 logx^(2) =2logx.

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 log_x3.log_(x//9)3=log_81(3) has a solution. Statement-2 Change of base in logarithms is possible .

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation 7^(log_7(x^3+1))-x^2=1 has two distinct real roots . Statement -2 a^(log_aN)=N , where agt0 , ane1 and Ngt0

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  2. Statement I: sec^2theta=(4x y)/((x+y)^2) is positive for all real valu...

    Text Solution

    |

  3. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  4. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  5. The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is a.-1//2 b. \ 1//...

    Text Solution

    |

  6. The value of Pi(r=1)^(7)cos.(pi r)/(15) is

    Text Solution

    |

  7. Prove that: s inpi/(14)s in(3pi)/(14)s in(5pi)/(14)s in(7pi)/(14)s in(...

    Text Solution

    |

  8. Which of the following is correct?

    Text Solution

    |

  9. Find the degrees and radians the angle between the hour hand and the ...

    Text Solution

    |

  10. One angle of a triangle is (4x)/3 grades and another is 3x degrees, wh...

    Text Solution

    |

  11. If in a Delta ABC, cot A + cot B + cot C = sqrt(3) . Prove that trian...

    Text Solution

    |

  12. Length of E F is equal to- a.1+sqrt(3)-sqrt(6) b. \ 1+sqrt(3)-sqrt(2) ...

    Text Solution

    |

  13. (log)(A E)((A C)/(C D)) is equal to a.sqrt(2) b. \ 1 c.\ 0 d. -1

    Text Solution

    |

  14. Length of minor a r c(A C)i s- a.10pi b. \ 5pi c.\ 40\ pi/3 d. 20\ pi...

    Text Solution

    |

  15. The value of (3-tan^2A)/(1-3tan^2A)+(3-tan^2B)/(1-3tan^2A)+(3-tan^2...

    Text Solution

    |

  16. If cos(y-z)+cos(z-x)+cos(x-y)=-3/2, prove that cos x + cos y + cos z =...

    Text Solution

    |

  17. Prove that cos 2a=2sin^(2)beta+4cos (alpha+beta)sin alpha sin beta+cos...

    Text Solution

    |

  18. Prove that cosalpha+cosbeta+cosgamma(alpha+beta+gamma)=4cos(alpha+beta...

    Text Solution

    |

  19. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  20. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

    Text Solution

    |