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ABCD is square having its centre ai the origin. If A is(x,y), find the remaining vertices. By a suitable translation of axes or otherwise, find the vertices of the square two of whose opposite vertices are(4,5) and (-2,-3). ...
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Q1) Four athletes are standing at the corners A,B,C and D of a square of side l.They simultaneously start running,such that A runs towards B,B runs towards C,C runs towards D and D runs towards A,each with velocity v.They wil ...
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Q1)If x,y and z are in AP,prove that 1/√x+√y ,1/√z+√x ,1/√y+√z are in AP Q2)Sum the series to n terms: (1/1+√x) +(1/1-x)+(1/1-√x)+....... Q3)Find the sum of first 19 terms of the AP a1,a2,a3,.........if it is ...
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Q)There are two sets of numbers,each having 3 terms in AP and the sum of each set is 15.The common difference of the first set is greater by 1 than the common difference of the second set and the product of the first set is t ...
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Q1)Show that there can be infinite number of sets of four distinct real numbers in AP which are such that the square of the last term is equal to the sum of squares of the first three terms. Q2)1000! is divisible by 10n.Find ...
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Q) If the nth term of a certain series,whose first three terms are 2,1 and -3 is of the form a+bn+c.2n ,where a,b,c are constants,then show that a,c,b are in AP.Also find the sum of first 'n' terms of the series ...
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Q) A very flexible uniform chain of mass M and length L is suspended vertically so that its lower end just touches the surface of a table.When the upper end of the chain is released, it falls with each link coming to rest the ...
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Q1)A heavy iron bar of weight W is having its one end on the ground and other on the shoulder of a man.The rod makes an angle θ with the horizontal.What is the weight experienced by the man? a)W sinθ b) W cosθ c)W d)W/2 Q2 ...
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F(x)=f(x)+f(1/x),whr f(x)=∫1x logt dt/1+t Then F(e) equals? ...
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Reason-Assertion Type prob a)st-1 is true.st-2 is false b)st-1 is false,st-2 is true c)st-1 is true,st-2 is true,st-2 is correct explaination of st-1 d)st-1 is true,st-2 is true,st-2 is not correct explaination of st-1 Q1)St- ...
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Q)A person standing on the bank of a river observes that angle of elevation of the top of the tree on the opposite bank of the river is 60° and when he retires 40m away from the tree the angle of elevation becomes 30°.The b ...
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Q1) A 35 mm slide with a 24 mm*36 mm picture is projected on a screen placed 12 m from the slide.The image of the slide picture on the screen measures 1.0 m *1.5 m.Determine the location of the projection lens, and its focal ...
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Q1) Calculate the force on charge q1 in the fig. Given: q1=-1.0*10-6 C ;q2=3.0*10-6C ;q3=-2.0*10-6C ; d12=0.15m ;d13=0.10m and θ=30° *Image* ...
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How would the diffraction pattern of a single slit be affected when the monocromatic source of light is replaced by white light? ...
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Q What is the solution for the differential equation ydx+(x+x2y)dy=0 ? ...
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Q1)∫0pi/4 sin x+cos x/9+16sin 2x Q2)∫0 pi/2 sin2x tan-1(sinx)dx ...
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Q In the potentiometer circuit shown,the balance point is at X.State with reason where the balance point be shifted when: 1)resistance R is increased keeping all other parameters unchanged 2)resistance S is increased keeping ...
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Q Fig. shows three cases: in all the cases the circular part has radius R and straight ones are infinitely long for same I.The magnetic field in the three cases has the ratio? Fig follows......... ...
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Q For a transistor amplifier in common emmiter configuation for load impedanceof 1kΩ (hfe=50 and hoe=25) the current gain is? also post the sol........ ...
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Integrate: ∫dx/sin4x+cos4x ...
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wt r harmonic progressions? ...
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y2+x2=R2 and k=1/R,then k is equal to a)IyI/ 1+(y')2 b)Iy''I/ [1+(y')2]3 c)2Iy"I/ 1+(y')2 d)Iy"I/2 (1+(y')2)3 also tell hw to solve ...
