Q.6913·Miscellaneous·2018·EasyIf A, B and C are the angles of a triangle and | 1 1 1 | | 1+sinA 1+sinB 1+sinC | | sinA+sin^2A sinB+sin^2B sinC+sin^2C | = 0, then which one of the following is correct?View question
Q.6914·Miscellaneous·2018·EasyConsider the following in respect of matrices A and B of same order: 1. A^2 – B^2 = (A+B)(A–B) 2. (A–I)(I+A) = O ⇔ A^2 = I where I is the identity matrix and O is the null matrix. Which of the above is/are correct?View question
Q.6915·Miscellaneous·2018·EasyIf A+B+C = 180°, then what is sin2A – sin2B – sin2C equal to?View question
Q.6916·Miscellaneous·2018·EasyA balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48°. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge?View question
Q.6917·Miscellaneous·2018·EasyA is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3 – tan^2A – cotA)^2 = 1. Which one of the following is a value of A?View question
Q.6918·Miscellaneous·2018·EasyConsider the following values of x: 1. 8 2. –4 3. 1/6 4. –1/4 Which of the above values of x is/are the solution(s) of the equation tan^–1(2x) + tan^–1(3x) = π/4 ?View question
Q.6919·Miscellaneous·2018·EasyIf the second term of a GP is 2 and the sum of its infinite terms is 8, then the GP isView question
Q.6920·Miscellaneous·2018·EasyIf a, b, c are in AP or GP or HP, then (a–b)/(b–c) is equal toView question
Q.6921·Miscellaneous·2018·EasyWhat is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is not allowed?View question
Q.6922·Miscellaneous·2018·EasyThe ratio of roots of the equations ax^2 + bx + c = 0 and px^2 + qx + r = 0 are equal. If D1 and D2 are respective discriminants, then what is D1/D2 equal to?View question
Q.6923·Miscellaneous·2018·EasyThe equation of a circle whose end points of a diameter are (x1, y1) and (x2, y2) isView question
Q.6924·Miscellaneous·2018·EasyThe second degree equation x^2 + 4y^2 – 2x – 4y + 2 = 0 representsView question
Q.6925·Miscellaneous·2018·EasyConsider the following statements: 1. The distance between the lines y = mx + c1 and y = mx + c2 is |c1–c2|/√(1+m^2). 2. The distance between the lines ax + by + c1 = 0 and ax + by + c2 = 0 is |c1–c2|/√(a^2+b^2). 3. The distance between the lines x = c1 and x = c2 is |c1–c2|. Which of the above statements are correct?View question
Q.6926·Miscellaneous·2018·EasyWhat is the equation of straight line passing through the point of intersection of the lines x/2 + y/3 = 1 and x/3 + y/2 = 1, and parallel to the line 4x + 5y – 6 = 0?View question
Q.6927·Miscellaneous·2018·EasyWhat is the distance of the point (2, 3, 4) from the plane 3x – 6y + 2z + 11 = 0?View question
Q.6928·Miscellaneous·2018·EasyCoordinates of the points O, P, Q and R are respectively (0,0,0), (4,6,2m), (2,0,2n) and (2,4,6). Let L, M, N and K be points on the sides OR, OP, PQ and QR respectively such that LMNK is a parallelogram whose two adjacent sides LK and LM are each of length √2. What are the values of m and n respectively?View question
Q.6930·Miscellaneous·2018·EasyConsider the following statements : 1.The angle between the planes 2x – y + z = 1 and x + y + 2z = 3 is π/3 2.The distance between the planes 6x – 3y + 6z + 2 = 0 and 2x – y + 2z + 4 = 0 is 9/10 Which of the above statements is/are correct ?View question