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question in next post.. evaluate the first one and then do the second one ...
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An ellipse is described using an endless string which is passed over two pins.If the axes are 6 cm and 4 cm,the necessary length of the string and distance between them in cm are ??? Ans.6,2 5 ...
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1-The point on the ellipse x2+2y2=6 closest to line x+y=7 is------ 2.Eccentricity of ellipse ax2+bx2+2fx+2gy+c=0,if major axis is parallel to -x axis is__ Ans. (b-a)/b 3.Tangents are drawn from the points on the line x-y-5=0, ...
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PLZ SOLVE If all the distinct roots of the equation x^{47}+2x^{46}+3x^{45}...........+24x^{24}+23x^{23}....................2x^2+x=0 are z_1,z_2.......z_k and imaginary part of z_k^2 is b_k Then find the value of \left|b_1 \ri ...
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*Image* ...
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For each natural number k, let Ck denote the circle with radius k cm, and centre at the origin. On the circle Ck, a particle moves k cm in counterclockwise direction. After completing its motion on Ck, the particle moves to C ...
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Cos 2θ + 2cosθ is always 1) greater than -3/2 2) less than or equal to 3/2 3) greater than or equal to -3/2 4) none of these ...
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I have a problem with a most most most basic question!! If f(x)=x+1 and g(x)=x-2, then solve the equation, |f(x)+g(x)|=|f(x)|+|g(x)| the stupid answers given is x≤-1 and x≥-2...how is this possible??? ...
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\int_{\pi /4}^{3\pi /4}{\frac{x}{1+sinx}}dx for practice ans.........> \pi (\sqrt{2}-1) ...
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Find no of solutions of : Sin(pi x)=|log|x||. ...
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1.evaluate *Image* far practize ...
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Para: Let a,b,c are complex numbers and the roots of the equation z3+az2+bz+c=0 are unimodular Q1. The value of |a|-|b| = (ans got =0) Q2. The number of distinct real roots of the equation z3+|a|z2+|b|z+|c|=0 is (a) 1 (b) 2 ( ...
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Question 1 Multiple Correct Answer Type For the curve y=ce^{\frac{x}{a}} A) subtangent is constant B) subnormal varies as square of abcissa C) x-intercept of tangent is 2a-c D) normal at its point of intersection with y-axis ...
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Q1.Find the dimensions of the rectangle of greatest area that can be inscribed in a semi-circle of radius 10 2 Q2.(1+y2)dx=(tan-1 y-x)dy Q3.find the locus of z if Amp z-1/z+1 = pi/4 PLZ TELL ME THE ANS . ...
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On an average out of 12 games of chess played by A and B, A wins 6, B wins 4 and 2 games end in a tie. A and B play a tournament of 3 games. Calculate the probability that A and B win alternate game, no game is tied up. ...
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roots of the equation x4+4x3-8x2+k=0 when 1. k = [0,3],are a) all real. b) two real two complex. c) no real. d) none. 2. k = (3,4],are a) all real. b) two real two complex. c) no real. d) coincident. 3. k = (-inf,0),are a) al ...
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An ellipse has OB as semi minor axis , F,F' are its foci, and the angle FBF' is a right angle.Then eccentricity of the ellipse is ....... pls explain ...
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Suppose n (≥3) persons are sitting in a row. Two of them are selected at random. The probability that they're not together is a) 1-(2/n) b) 2/(n-1) c) 1-(1/n) d) 2/(n+1) ...
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Question 1 If \vec{a} , \vec{b} , \vec{c} be such that | \vec{a} + \vec{b} + \vec{c} |=1, \vec{c} = \lambda \vec{a} x \vec{b} and |a|= 1/ 2 , |b|= 1/ 3 , |c|= 1/ 6 then the angle between \vec{a} and \vec{b} is: A) Î /6 B) Î / ...
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\int \frac{a^{x/2}}{\sqrt{a^{-x}-a^{x}}}dx ans...........> (1/log a)sin-1(ax) + c ...
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\lim_{n\rightarrow \infty }\sum_{r=1}^{2n}{\frac{r}{n\sqrt{n^{2}+r^{2}}}} ans...........> 5 - 1 ...
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*Image* *Image* please explain the step marked in violet... how???? [2] [2] ...
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The sum of solutions of the equation sinx = x2 - 7x + 12 is k which can be expressed as the product of two prime numbers. The sum of primes is equal to -----. INTEGER ANS TYPE ...
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Q:-find the maximum and minimum values of F(x)=sinx+1/2cosx in 0<=x<=∩/2 ...
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*Image* ans - 1 . π/4 - 1/2 log 2 far practize ...
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two numbers a and b are chosen from the set {1,2.......25}. the probability that a4-b4 is divisible by 5 is? ans: 2/3 ...
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\boxed{1} Find the value of a for which \int_{0}^{\pi}\{ax(\pi^{2}-x^{2})-\sin x\}^{2}dx is minimized. (easy one) for prac. \boxed{2} Let f(x) be a continuous function satisfying *Image* Find the value of k for which *Image* ...
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if tan(πcosθ)=cot(πsinθ) then form eqn whose roots are cosθ and sinθ ...
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Q17. Find the image of the point (1,6,3) about the "plane"(???) x = (y-1)/2 = (z-2)/3 <- How is this a plane?? My working -: *Image* *Image* ...
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1. \int_{sinx}^{1}{t^{2}f(t)dt}=1-sinx,0\leq x\leq \frac{\pi }{2}, then f\left(\frac{1}{\sqrt{3}} \right)= ans ---------> 3 2. Function f is continuous for all x,( and not everywhere 0), such that \left\{f(x) \right\}^{2} ...