10th Class Mathematics Introduction to Trigonometry Question Bank Assertion and Reason MCQs - Introduction to Trigonometry

  • question_answer
     
    Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.
    Assertion \[\frac{\left( \sin \theta -\cos \theta  \right)\left( \sin \theta +\cos \theta  \right)}{\left( \cos \theta -\sin \theta  \right)\left( \cos \theta +\sin \theta  \right)}=-1\]
    Reason \[{{\sin }^{2}}\theta +{{\cos }^{2}}\theta =-1\]
     

    A) A is true, R is true; R is a correct explanation for A.

    B) A is true, R is true; R is not a correct explanation for A.

    C) A is true; R is false.

    D) A is false; R is true.

    Correct Answer: C

    Solution :

    Assertion  \[\frac{{{\sin }^{2}}\theta -{{\cos }^{2}}\theta }{{{\cos }^{2}}\theta -{{\sin }^{2}}\theta }=-1\]
     Assertion is true and Reason is false.
     


You need to login to perform this action.
You will be redirected in 3 sec spinner