Q.3079·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.3080·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.3081·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.3082·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.3083·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.3084·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.3085·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.3086·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
Q.3087·Miscellaneous·2022·EasyLet A and B be non-singular matrices of the same order such that AB = A and BA = B. Which of the following statements is/are correct? 1.A² = A 2.AB² = A²B Select the correct answer using the code given below:View question
Q.3088·Miscellaneous·2022·EasyHow many terms are there in the expansion of ( 1+ 2/x)^9 ( 1- 2/x)^9View question
Q.3089·Miscellaneous·2022·EasyConsider the following statements in respect of the expansion of (x + y)^10: 1.Among all the coefficients of the terms, the coefficient of the 6th term has the highest value 2.The coefficient of the 3rd term is equal to the coefficient of the 9th term Which of the above statements is/are correct?View question
Q.3090·Miscellaneous·2022·EasyHow many odd numbers between 300 and 400 are there in which none of the digits is repeated?View question
Q.3091·Miscellaneous·2022·EasyHow many permutations are there of the letters of the word ‘TIGER’ in which the vowels should not occupy the even positions?View question
Q.3092·Miscellaneous·2022·EasyWhat is the value of 2(2×1) + 3(3×2×1) + 4(4×3×2×1) + 5(5×4×3×2×1) + ... + 9(9×8×7×6×5×4×3×2×1) + 2?View question
Q.3093·Miscellaneous·2022·EasyIf A = {1, 2, 3}, then how many elements are there in the power set of A?View question
Q.3094·Miscellaneous·2022·EasyIf a, b, c are in GP where a > 0, b > 0, c > 0, then which of the following are correct? 1.a², b², c² are in GP 2.1/a, 1/b, 1/c are in GP 3.√a, √b, √c are in GP Select the correct answer using the code given below:View question
Q.3095·Miscellaneous·2022·EasyIf (a + b)/2, b, (b + c)/2 are in HP, then which one of the following is correct?View question
Q.3096·Miscellaneous·2022·EasyConsider all the subsets of the set A = {1, 2, 3, 4}. How many of them are supersets of the set {4} ?View question