Q.10531·Miscellaneous·2015·EasyThe integral ∫ dx / (a cos x + b sin x) is of the form (1/r) ln|tan((x + α)/2)| What is r equal to?View question
Q.10532·Miscellaneous·2015·EasyWhich one among the following is used in making gunpowder?View question
Q.10533·Miscellaneous·2015·EasyAt what value of x does f(x) attain minimum value? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10534·Miscellaneous·2015·EasyWhat is the minimum value of f(x)? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10535·Miscellaneous·2015·EasyThe cleaning action of soap and detergent in water is due to the formation ofView question
Q.10537·Miscellaneous·2015·EasyConsider the following statements in respect of the given equation : (x² + 2)² + 8x² − 6x(x² + 2) 1.All the roots of the equation are complex. 2.The sum of all the roots of the equation is 6. Which of the above statements is/are correct?View question
Q.10538·Miscellaneous·2015·EasyIf A = {x : x is a multiple of 3} and B = {x : x is a multiple of 4} and C = {x : x is a multiple of 12}, then which one of the following is a null set?View question
Q.10540·Miscellaneous·2015·EasyHow many words can be formed using all the letters of the word "NATION" so that all the three vowels should never come together?View question
Q.10541·Miscellaneous·2015·EasyConsider the following in respect of two non-singular matrices A and B of same order : 1.det(A + B) = detA + detB 2.(A + B)⁻¹ = A⁻¹ + B⁻¹ Which of the above is/are correct?View question
Q.10542·Miscellaneous·2015·EasyLet A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A containing exactly two elements isView question
Q.10543·Miscellaneous·2015·EasyWhat is the sum of the series 0.5 + 0.55 + 0.555 + … to n terms?View question
Q.10544·Miscellaneous·2015·EasyIn a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the number of students in the class who like both music and dancing isView question
Q.10545·Miscellaneous·2015·EasyIn solving a problem that reduces to a quadratic equation, one student makes a mistake in the constant term and obtains 8 and 2 for roots. Another student makes a mistake only in the coefficient of first-degree term and finds −9 and −1 for roots. The correct equation isView question
Q.10546·Miscellaneous·2015·EasyThe angle of elevation of the top of a tower from a point 20 m away from its base is 45°. What is the height of the tower?View question
Q.10547·Miscellaneous·2015·EasyThe angles of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at distances 49 m and 36 m are 43° and 47° respectively. What is the height of the tower?View question
Q.10548·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question