Q.3082·Miscellaneous·2022·EasyThere are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively. What is the length of the tower?View question
Q.3086·Miscellaneous·2022·EasyIn triangle ABC, a = 4, b = 3, c = 2. What is cos3C equal to?View question
Q.3087·Miscellaneous·2022·EasyIf sec x = 25/24 and x lies in the fourth quadrant, what is tan x + sin x?View question
Q.3088·Miscellaneous·2022·EasyConsider the following statements in respect of the line passing through origin and inclining at an angle of 75° with the positive direction of x-axis : 1. The line passes through the point (1, 1 / (2 − √3)) 2. The line entirely lies in first and third quadrants. Which of the statements given above is/are correct ?View question
Q.3089·Miscellaneous·2022·EasyIf P(3, 4) is the mid-point of a line segment between the axes, then what is the equation of the line ?View question
Q.3090·Miscellaneous·2022·EasyThe base AB of an equilateral triangle ABC with side 8 cm lies along the y-axis such that the mid-point of AB is at the origin and B lies above the origin. What is the equation of line passing through (8, 0) and parallel to the side AC ?View question
Q.3091·Miscellaneous·2022·EasyThe centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the lineView question
Q.3092·Miscellaneous·2022·EasyThe centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is its eccentricity ?View question
Q.3093·Miscellaneous·2022·EasyUnder which of the following conditions does the determinant | a b c | | b c a | | c a b | vanish? 1.a + b + c = 0 2.a³ + b³ + c³ = 3abc 3. a² + b² + c² − ab − bc − ca = 0View question
Q.3094·Miscellaneous·2022·EasyLet A be a non-singular matrix and B = adj A. Which of the following statements is/are correct? 1.AB = BA 2.AB is a scalar matrix 3.AB can be a null matrix Select the correct answer using the code given below:View question
Q.3095·Miscellaneous·2022·EasyConsider the following statements in respect of square matrices A and B of same order: 1.If AB is a null matrix, then at least one of A and B is a null matrix. 2.If AB is an identity matrix, then BA = AB. Which of the above statements is/are correct?View question
Q.3096·Miscellaneous·2022·EasyIf A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C = A + B?View question