Q.6931·Miscellaneous·2018·EasyConsider the following statements : Statement I : If the line segment joining the points P (m, n) and Q (r, s) subtends an angle α at the origin, then cos α = (mr + ns – nr)/(√(m² + n²)(r² + s²)) Statement II : In any triangle ABC, it is true that a² = b² + c² – 2bc cos A. Which one of the following is correct in respect of the above two statements ?View question
Q.6932·Miscellaneous·2018·EasyA unit vector perpendicular to each of the vectors 2i – j + k and 3i – 4j – k isView question
Q.6933·Miscellaneous·2018·EasyIf |a| = 3, |b| = 4 and |a – b| = 5, then what is the value of |a + b| ?View question
Q.6934·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.6935·Miscellaneous·2018·EasyFor the function f(x) = |x – 3|, which one of the following is not correct ?View question
Q.6936·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.6937·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.6938·Miscellaneous·2018·EasyWhat is the solution of the differential equation ln(dy/dx) = ax + by ?View question
Q.6939·Miscellaneous·2018·EasyIf y = sin (ln x), then which one of the following is correct ?View question
Q.6940·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.6941·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.6942·Miscellaneous·2018·EasyWhat is the solution of the differential equation dx/dy = x + y + 1 / x + y – 1 ?View question
Q.6943·Miscellaneous·2018·EasyWhich one of the following groups of cellular organelles contains DNA?View question
Q.6944·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.6945·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
Q.6946·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 : Mughal Painting reached its climax during the reign of Jahangir. Statement II : Aurangzeb's Court was adorned by some of the best known artists of the Mughal School of Painting.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 : Phytoplankton produce most of the organic carbon in the ocean. Statement II : Algae are produced in the cold water biome.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 : Geostrophic wind blows above a height of 600 metres, parallel to the isobars. Statement II : Geostrophic wind is the horizontal wind velocity, in which the Coriolis force balances the horizontal pressure force.View question