Q.3979·Miscellaneous·2021·EasyThe locus of a point P(x, y, z) which moves in such a way that z = 7 is aView question
Q.3980·Miscellaneous·2021·EasyConsider the following statements : 1. A line in space can have infinitely many direction ratios. 2. It is possible for certain line that the sum of the squares of direction cosines can be equal to sum of its direction cosines. Which of the above statements is/are correct?View question
Q.3981·Miscellaneous·2021·EasyThe number of spheres of radius r touching the coordinate axes isView question
Q.3982·Miscellaneous·2021·EasyABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If α is the angle between AB and AG; β is the angle between AC and AG, then what is the value of cos2α + cos2β?View question
Q.3983·Miscellaneous·2021·EasyFor the set of numbers x, x, x+2, x+3, x+10 where x is a natural number, which of the following is/are correct? 1. Mean > Mode 2. Median > Mean Select the correct answer using the code given below.View question
Q.3984·Miscellaneous·2021·EasyIf g is the geometric mean of 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, then which one of the following is correct?View question
Q.3985·Miscellaneous·2021·EasyIf the harmonic mean of 60 and x is 48, then what is the value of x ?View question
Q.3986·Miscellaneous·2021·EasySeven white balls and three black balls are randomly placed in a row. What is the probability that no two black balls are placed adjacently?View question
Q.3987·Miscellaneous·2021·Easy3-digit numbers are formed using the digits 1, 3, 7 without repetition of digits. A number is randomly selected. What is the probability that the number is divisible by 3?View question
Q.3988·Miscellaneous·2021·EasyWhat is the mean deviation of the first 10 even natural numbers?View question
Q.3989·Miscellaneous·2021·EasyIf A and B are two events such that P(not A) = 7/10, P(not B) = 3/10 and P(A|B) = 3/14, then what is P(B|A) equal to?View question
Q.3990·Miscellaneous·2021·EasyWhat is the order of the differential equation of all ellipses whose axes are along the coordinate axes?View question
Q.3991·Miscellaneous·2021·EasyWhat is the degree of the differential equation of all circles touching both the coordinate axes in the first quadrant?View question
Q.3992·Miscellaneous·2021·EasyWhere does the tangent to the curve y = e^x at the point (0, 1) meet x-axis?View question
Q.3993·Miscellaneous·2021·EasyConsider the following statements in respect of the function f(x) = x + 1/x : 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x = 1. Which of the above statements is/are correct?View question
Q.3994·Miscellaneous·2021·EasyWhat is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?View question
Q.3996·Miscellaneous·2021·EasyWhat is the condition that f(x) = x^3 + x^2 + kx has no local extremum?View question