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Q. The plates of a capacitor are 2 cm apart. An electron-proton pair is released somwhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the p ...
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1. There are n lines drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is ? 2. Number of 6-digit telephone numbers, which ...
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1. There are n lines drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is ? 2. Number of 6-digit telephone numbers, which ...
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1. There are n lines drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is ? 2. Number of 6-digit telephone numbers, which ...
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1. If p, q, r be in H.P. and p and r be different having same sign, then the root of the equation px2 + 2q + r = 0 will be (A) Real (B) Equal (C) Imaginary (D) None of these 2. If the equation (k – 2) x2- – (k –- 4) x- – ...
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1. If p, q, r be in H.P. and p and r be different having same sign, then the root of the equation px2 + 2q + r = 0 will be (A) Real (B) Equal (C) Imaginary (D) None of these 2. If the equation (k – 2) x2- – (k –- 4) x- – ...
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1. A man observes, that when he moves up a distance c meters on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30º; and when he moves up further a distance c meters the angl ...
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1. A man observes, that when he moves up a distance c meters on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30º; and when he moves up further a distance c meters the angl ...
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1. If ABCD is cyclic quadrilateral, show that AC . BD = AB . CD + BC . AD 2. In a ΔABC, show that a3 cos (B – C) + b3 cos (C – A) + c3 cos (A – B) = 3 abc ...
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1. Find the total number of terms in the expansion of (x + y + z + w)n , n ∈ N. 2. Find numerically greatest term in the expansion of (2 + 3x)9, when x = 3/2 ...
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From a conduction ring of radius R which carries a charge Q (uniformly distributed) along its periphery a small length dl is cut off. The electric field at the center due to the remaining part is ? ...
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Solve the equation y3= x3 + 8x2 - 6x + 8 for positive integers. I have a method which is not very good. ...
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1. Sum of the series : 1 + 3x + 5x2 + 7x3 + ......... 2. Sum the series : 1.2.3 + 2.3.4 + 3.4.5. + ......... + to n terms. 3. Sum the series : 12 + (12 + 22) + (12 + 22 + 32) + ........ to n terms. ...
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There are two urns each containing an arbitrary number of balls. We are allowed two types of operations: (a) remove an equal number of balls simultaneously from both the urns, (b) double the number of balls in any of them Sho ...
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In a certain test, there are n questions, In this test 2n-i students give wrong answers to atleast i questions (1 ≤ i ≤ n). If the total number of wrong answers given is 2047, find the value of n. ...
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if, a2 + b2 + c2 = ab + bc + ac then find the relation between a,b and c for real values of a,b and c. sitter question no doubt... ...
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Find 3-digit numbers that are divisible by 5 as well as 9 and whose consecutive digits are in A.P ...
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What digit is the least frequent between the numbers 1 and 1,000? ...
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1. Find the total number of terms in the expansion of (x + y + z + w)n , n ∈ N. 2. Find numerically greatest term in the expansion of (2 + 3x)9, when x = 3/2 ...
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Find the sum of all four digit palindromes. ...
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1. Sum of the series : 1 + 3x + 5x2 + 7x3 + ......... 2. Sum the series : 1.2.3 + 2.3.4 + 3.4.5. + ......... + to n terms. 3. Sum the series : 12 + (12 + 22) + (12 + 22 + 32) + ........ to n terms. ...
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1. Sum of the series : 1 + 3x + 5x2 + 7x3 + ......... 2. Sum the series : 1.2.3 + 2.3.4 + 3.4.5. + ......... + to n terms. 3. Sum the series : 12 + (12 + 22) + (12 + 22 + 32) + ........ to n terms. ...
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1. Solve the inequality sin x + cos 2x > 1 if 0 ≤ x ≤ π/2 2. For a triangle ABC, it is given that : cos A + cos B + cos C = 3/2. Prove that the triangle is equilateral. ...
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1. Find the sum of the products of every pair of the first n natural numbers 2. Sum the series : 1 + 4 + 10 + 22 + 46 + ...... to n terms. 3. Find the sum of first n terms of the series : 1(1)! + 2(2) ! + 3(3)! + 4(4)! + .... ...
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A cubical block of mass m and edge a slides down a rough inclined plane of inclination with a uniform speed. The torque of the normal force acting on the block about its centre is ? ...
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A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12m/s2. The displacement of the block during the first 0.2 s after the start assuming g = 10 m/s2 is (a) 4 cm (b) 20 ...
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two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...
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Let ABCDEF be a convex hexagon in which the diagonals AD, BE, CF are concurrent at O. Suppose the area of traingle OAF is the geometric mean of those of OAB and OEF; and the area of triangle OBC is the geometric mean of those ...
