Q.5797·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.5798·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.5800·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.5803·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·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5806·Miscellaneous·2019·EasyIndia’s first private sector Howitzer gun-making unit is located atView question
Q.5807·Miscellaneous·2019·EasyFor r > 0, f(r) is the ratio of perimeter to area of a circle of radius r. Then f(1) + f(2) is equal toView question
Q.5808·Miscellaneous·2019·EasyWho among the following was named ICC’s emerging player of the year 2018?View question
Q.5809·Miscellaneous·2019·EasyWhich one of the following cities was named by UNESCO as World Capital of Architecture for 2020?View question
Q.5811·Miscellaneous·2019·EasyWho among the following was awarded The Hindu Prize in Fiction category for the year 2018?View question
Q.5812·Miscellaneous·2019·EasyIMBEX is a joint exercise conducted regularly between Armies of India andView question
Q.5813·Miscellaneous·2019·EasyConsider the following description of the Samadhi of a former Prime Minister of India: "Central Samadhi platform comprises nine square black polished granite solid stone blocks, capped with a 'Diya' in the centre. The number nine holds significance and represents the navarasas, navaratras and navagrahas. Then placement of the nine-square Samadhi is in a circular lotus shaped pattern. The nine-square platform is accessed in four cardinal directions by pathways made in white composite tiles so that the floor does not get heated." Identify the Samadhi:View question