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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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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-2y+4=0 and 2x+y-5=0 are sides of a isosceles triangle having area 10 sq. units.Find the equation of third side?(Note that its an right angled triangle) ...
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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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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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f(x)=ax3+bx2+cx+d g(y)=ay3+f'''(m)y2/2+cf''(m)/1+f(m)=0. f(x) has roots α1, α2, α3 and g(y) has corresponding β roots. PT difference between the corresponding roots are equal. ...
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(1) The sum of X-coordinate of the point of Intersection of the curves x^{2}=x+y+4 and y^{2}=y-15x+36 in X-Y plane. ...
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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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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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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 a and b are +ve integers.......find the probabilty that \frac{1}{2}(a^{2}+b^{2}) is a +ve integer ...
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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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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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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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p *Image* ...
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p *Image* ...
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p *Image* ...
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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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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 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 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 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 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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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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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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Find the greatest common divisor of the following terms . 2mC1 , 2mC3 , 2mC5 ...... 2mC2m - 1 (Hats off to anyone who does this !!!!!! ) ...
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1) find the sum of the series \frac{1}{4!}+\frac{4!}{8!}+\frac{8!}{12!}................\infty 2) if a function defined such that f:R→R f(x)-2f(\frac{x}{2})+f(\frac{x}{4})=x^{2} find f(x) 1st one is a doubt[1] ...
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Area bounded by the curve y=ex2, x-axis and the lines x=1, x=2 is given to be equal to a sq units. Area bounded by the curve y=√(ln x) , y-axius, and the lines y=e and y=e4 is equal to ? ...
