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A book contains pages numbered from 1 to 50. 4 leaves (i. e., 8 pages) were torn off the book. What is the probability that the sum of the page numbers is 68? ...
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A class test has maximum marks equal to 50 . It should contain 7 questions each having marks in the range of 2(min. marks for a ques.) to 14(max marks of a ques.). Find the possible number of ways to prepare the test. ...
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Find the fixed point which all chords of the curve 3x2 - y2 - 2x + 4y = 0, subtending a right angle at the origin, pass through. ...
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If x can be any real number, then find the value of \frac{(x-a)(x-b)(x-c)}{(d-a)(d-b)(d-c)}+\frac{(x-b)(x-c)(x-d)}{(a-b)(a-c)(a-d)}+\frac{(x-c)(x-d)(x-a)}{(b-c)(b-d)(b-a)}+\frac{(x-d)(x-a)(x-b)}{(c-d)(c-a)(c-b)} - 1 ...
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The equation of circle(s) of radius 1 & touching the circles x2 + y2 - 2|x| = 0 is ? ...
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A dice is thrown 2n+1 times, n ε N. The probability that faces with even numbers show up odd number of times is = ? ...
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1) Find \lim_{x\rightarrow0}{{\left( \frac{1^{x}+2^{x}+3^{x}+.....+n^{x}}{n}\right)^{1/x}}} 2) Find \lim_{n\rightarrow(infinity)}\frac{1^{k}+2^{k}+3^{k}+........+n^{k}}{n^{k+1}} ...
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If x = z√(1 - y2) + y√(1 - z2), find the minimum value of (x + y + z)(x - y + z)(x + y - z)(-x + y + z). ...
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If the orthocentre of ΔABC formed by the intersection of lines 2x + 3y - 1 = 0, x + 2y - 1 = 0 & ax + by - 1 = 0 is origin, find a, b. ...
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If AB = a, AD = b, AC = 2b+ 3c & the area of quadrialteral ABCD is β times the area of ||gm whose adjacent sides are a, b. find the value of β. Here, a represents vector a, AC represents vector AC. ...
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If the angle between a, b is twice the angle between a, c & b, c, then find the value of [a, b, c]. Here a, b, c represents unit vectors..... ...
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The foot of perpendicular from the point (0, 0, 0) to the line of the intersection of the planes x + y + z = 4 & 2x + y + 3z = 1 is a point A.Find the equation of the line OA. ...
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If the tangent drawn at a point (t2,2t) on the parabola y2=4x is tha same as the normal drawn at a point(√5cosφ, 2sinφ) in the ellipse 4x2+5y2=20, find the values of t & φ. ...
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What is the minimum number of pairwise comparisons needed for identifying the largest, IInd largest & IIIrd largest elements out of 128 objects? ...
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From the point (2, 5) rays of light are sent at 600 with the line 2x + y = 1. Find the equations of lines of reflected rays if the rays reflect from 2x + y = 1. ...
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If a, b, c are 3 non-coplanar unit vectors then, what is the value of [a b c]? a). 1 b). 1/2. c). 0 d) None of these. ...
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Find the value of cos(Î /14).cos(3Î /14).cos(5Î /14) using complex numbers. ...
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Find the equation of the circle of minimum radius which contains the 3 circles. x2 + y2 - 4y - 5 = 0, x2 + y2 + 12x + 4y + 31 = 0, x2 + y2 + 6x + 12y + 36 = 0, ...
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Evaluate Σp=132 (3p+2)[Σq=110{sin(2qΠ/11)- icos(2qΠ/11)]p ...
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Sorry, the right question is:- "The sides AB & AC are bisected at right angles by the pair of straight lines y2-5xy-4x2=0. The base BC of the triangle passes through a fixed point (4,5). Here, AB, AC & BC are the sides of a t ...
