Q.5797·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?View question
Q.5798·Miscellaneous·2019·EasyWhich one of the following is the second degree polynomial function f(x) where f(0) = 5, f(–1) = 10 and f(1) = 6 ?View question
Q.5799·Miscellaneous·2019·EasyWhat is the area of the region bounded by |x| < 5, y = 0 and y = 8?View question
Q.5802·Miscellaneous·2019·EasyIf angle C of a triangle ABC is a right angle, then what is tanA + tanB equal to?View question
Q.5805·Miscellaneous·2019·EasyA straight line passes through the point (1, 1, 1) makes an angle 60° with the positive direction of z-axis, and the cosine of the angles made by it with the positive directions of the y-axis and the x-axis are in the ratio √3 : 1. What is the acute angle between the two possible positions of the line ?View question
Q.5807·Miscellaneous·2019·EasyConsider the following statements : 1. The magnitude of a × b is same as the area of a triangle with sides a and b 2. If a × b = 0 where a ≠ 0, b ≠ 0, then a = λb Which of the above statements is/are correct ?View question
Q.5808·Miscellaneous·2019·EasyConsider the following equations for two vectors a and b : 1. ( a + b ) · ( a − b ) = | a |² − | b |² 2. [( a + b )] [( a − b )] = | a |² − | b |² 3. | a · b |² + | a × b |² = | a |² | b |² Which of the above statements are correct?View question
Q.5809·Miscellaneous·2019·EasyIf the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which one of the following is correct?View question
Q.5810·Miscellaneous·2019·EasyA ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60°. What is the height of the flagstaff?View question
Q.5811·Miscellaneous·2019·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5812·Miscellaneous·2019·EasyTwo symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?View question
Q.5813·Miscellaneous·2019·EasyIf two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8?View question
Q.5814·Miscellaneous·2019·EasyThe mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?View question