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if (a+2)sinx + (2a-1)cosx = (2a+1) find tanx. the options were (a) 3/4 (B) 4/3 (C) 2a/(a2+1) (D) 2a/(a2-1) well we can see that option B holds. i want the solution. ...
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Express (1+x2) (1+y2) (1+z2) as sum of two squares. ...
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If a,b,c and d are real positive such that : a + b + c + d = 1 Show that : 4a+1 + 4b+1 + 4c+1 + 4d+1 < 6 ...
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Prove that [√n + √(n+1)] = [√(4n+1)] = [√(4n+2)] [.] here is used to denote greatest integer/floor function. ...
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a pendulum of mass m and length L is pulled back an angle θ and released. After the pendulum swings through its lowest point, it encounters a peg α degrees out and r meters from the top of the string. The mass swings up abo ...
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Two identical balls, each having a charge of 2x10-7C and a mass of 100g, are suspended from a common point by two insulating strings each 50cm long. The balls are held at a separation of 5cm apart. Find the components of the ...
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Find the sum of [x]+[x+ 1/n ]+[x+ 2/n ]+......+[x+ n-1/n ] if 'x' is real and 'n' is natural. [.] represents the greatest integer function. ...
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let f1(x) = x for 0≤x≤1 1 for x>1 0 otherwise and f2(x) = f1(-x) for all x f3(x) = -f2(x) for all x f4(x) = f3(-x) for all x Which of the following in necessarily true? 1. f4(x) = f1(x) for all x 2. f1(x) = - f3(-x) fo ...
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Sorry. Mistakes that the question repeated ...
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*Image* just focus... its simple.. !! ...
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*Image* ...
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Q: Given a,b,c and d ε R satisfying a+b=8 ; ab+c+d=23 ; ad+bc = 28 ; cd = 12 , Find a) a+b+c+d b) ab+cd c) ac+bd d) ab (It's matrix type but I didn't wrote the options as it was taking more time) Q: The no. of values of ' k ...
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PROVE: n!/r! (n-r)! + n!/(r-1)!(n-r+1)! = (n+1)!/r! (n-r+1)! ...
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Q1. Light is incident from glass to water.Find the range of the angle of deviation for which there are two angles of incidence. n(water) =4/3 . n(glass)=3/2 . Q2. An object P is focussed by a microscope M. A glass slab of thi ...
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Is it true that (p2-1) is always divisible by 24 if p is a prime number greater than equal to 5 ? if Yes how ? ...
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1.find the number of ways in which m boys and n girls may be arranged in a row so that no two girls are together . given that m>n 2. In an exam,10 candidates have to appear. 4 candidates are to appear in maths and rest in ...
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prove that - tan 2pi/13 + 4sin 6pi/13 = √(13+2√13) ...
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1. A= \begin{bmatrix} 1& 0 &1 \\ 0 & 1 &1 \\ 0& -2 & 4 \end{bmatrix} 6A-1=A2+cA+dI,then c,d = [a nice method will do,without working a lot] 2. Assertion and Reason: Consider the system of equations: x-2y+3z=-1;x-3y+4z=1;-x+y- ...
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1. Prove that (n!)! is divisible by (n!)^{(n-1)!} . 2. Show that 1!+2!+3!+ \dots + n! cannot be a perfect square for any n \in \mathbb{N}, \: n\geq 4 . ...
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The electron in a hydraogen atom makes transition n1 to n2 ;n1&n2 principal quantum numbers of two states . assume the bohr model to be valid . the time period of the electron in initial state is 8 times that in the final sta ...
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a particle of mass M at rest decays into two particles of masses m1 &m ,having nonzero velocities . the ratio of the de- Broglie wavelengths oof the particles ,λ1/λ2 = ...
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let P1(x)= ax^2-bx-c, P2(x)=bx^2-cx-a,P3(x)= cx^2-ax-b, be 3 quadritic polynomials where a,b,c are non zero real numbers suppose there exists a real number k such that P1(k) = P2(k)= P3(k). then prove that a=b=c. please do it ...
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hi is it true that for light waves power ∞ Intensity (only) ?? i mean can we write P = P1 + P2 + √(P1P2) cos (phase deference in terms of angle) ?????????? ????????? ???????? ??????? ?????? ????? ???? ??? ?? ? ...
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can someone help me solve , 2cosα - 1 = sinα - cosα*tan( α/2 ) ...
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Q. An electron in the ground state of the He atom joins the Helium nucleus to form He+ ion. Assuming that electron had zero kinetic energy after the transition, find the wavelength of the photon emitted. ...
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Two plane mirrors are placed at an angle θ, A ray of light strikes the first one gets reflected, strikes the second, get reflected and emerges out. What is the incident angle if the emering and the incident ray are coll ...
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nishant sir could you please provide some link or source from where we can study geometry which helps solve coordinate . ...
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*Image* sine rule can help too... ...
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can somebody explain or give link to study polar cordinates as it is useful to find velocit etc. suppose a rod is leaning against the wall with the rod beimg almost vertical then find the angle at which it shall leave contact ...
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Little Einstein writes the numbers 2 , 3 , … N on a blackboard. He chooses any two of them, say X and Y, scratches both of them and replaces them by the single number T given by the relation : T = XY – X – Y + 2 He repe ...