Q.6931·Miscellaneous·2018·EasyA is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3 – tan^2A – cotA)^2 = 1. Which one of the following is a value of A?View question
Q.6932·Miscellaneous·2018·EasyConsider the following values of x: 1. 8 2. –4 3. 1/6 4. –1/4 Which of the above values of x is/are the solution(s) of the equation tan^–1(2x) + tan^–1(3x) = π/4 ?View question
Q.6933·Miscellaneous·2018·EasyIf the second term of a GP is 2 and the sum of its infinite terms is 8, then the GP isView question
Q.6934·Miscellaneous·2018·EasyIf a, b, c are in AP or GP or HP, then (a–b)/(b–c) is equal toView question
Q.6935·Miscellaneous·2018·EasyWhat is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is not allowed?View question
Q.6936·Miscellaneous·2018·EasyThe ratio of roots of the equations ax^2 + bx + c = 0 and px^2 + qx + r = 0 are equal. If D1 and D2 are respective discriminants, then what is D1/D2 equal to?View question
Q.6937·Miscellaneous·2018·EasyIn a triangle ABC, if taken in order, consider the following statements : 1. AB̅ + BC̅ + CA̅ = 0̅ 2. AB̅ + BC̅ – CA̅ = 0̅ 3. AB̅ – BC̅ + CA̅ = 0̅ 4. BĀ – BC̅ + CĀ = 0̅ How many of the above statements are correct ?View question
Q.6938·Miscellaneous·2018·EasyFor the function f(x) = |x – 3|, which one of the following is not correct ?View question
Q.6939·Miscellaneous·2018·EasyThe differential equation of the family of curves y = p cos (ax) + q sin (ax), where p, q are arbitrary constants, isView question
Q.6940·Miscellaneous·2018·EasyWhat is the order of the differential equation whose solution is y = a cos x + b sin x + ce^x + d, where a, b, c and d are arbitrary constants ?View question
Q.6941·Miscellaneous·2018·EasyWhat is the solution of the differential equation ln(dy/dx) = ax + by ?View question
Q.6942·Miscellaneous·2018·EasyIf y = sin (ln x), then which one of the following is correct ?View question
Q.6943·Miscellaneous·2018·EasyA flower-bed in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is the radius of the sector ?View question
Q.6944·Miscellaneous·2018·EasyLet f(x + y) = f(x)f(y) and f(x) = 1 + xg(x)f(x), where lim g(x) = a and lim g(x) = b. Then what is f’(x) equal to ?View question
Q.6945·Miscellaneous·2018·EasyWhat is the solution of the differential equation dx/dy = x + y + 1 / x + y – 1 ?View question
Q.6946·Miscellaneous·2018·EasyWhich one of the following groups of cellular organelles contains DNA?View question
Q.6947·Miscellaneous·2018·EasyIn this question consist of two statements, Statement I and Statement II. Examine these two statements carefully and select the correct answer using the code given below. Statement I : Sound wave cannot propagate in vacuum. Statement II : Sound waves are elastic waves and require a medium to propagate.View question
Q.6948·Miscellaneous·2018·EasyIn this question consist of two statements, Statement I and Statement II. Examine these two statements carefully and select the correct answer using the code given below. Statement I : The Government of India Act, 1935 introduced Dyarchy at the Centre. Statement II : The provincial autonomy was granted to the Provinces.View question