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find the equation of the circle which touches the line iz+z+1+i=0 and has the lines (1-i)z=(1+i)z and (1+i)z=(1-i)z ...
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The number of non-real solutions of |z|2+4z = 0 is? ...
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if z2/(z-1) is purely real... Then z is ...
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Sum of n terms of (1,r,r2,r3............) in GP is given by S = (1-rn)/(1-r) Under what conditions is the above true. ...
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For the questions 5-7, using the constraints given in each question, answer the following..... what is the minimum value of (x+1/x)2 + (y+1/y)2 ? Constraint for question 5... xεR and yεR ...
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x>2y ...
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Constraint x+y=1 ...
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Work done in the process B-C is ...
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Answer the questions 24-27 based on the information given One mole of monoatomic ideal gas undergoes the following process shown in T-S curve. Given SD-SA=5.76 J/K/mol *Image* Heat absorbed in the process AB is ...
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Total work done in the process ...
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Work done the process C-D is ...
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Refer Q 9! ...
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For each of the questions 9-11 match the question number with the possible options a,b,c and d. (There could be multiple correct choices!) a) Ellipse b) Straight Line/ line segment c) Circle d) point 9) |z-1|+|z+3| = k (k ...
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find the area common to these .. |x-1-i|<2 |x+i+1|>2 ...
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Refer Question 9 ...
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if g(x) = x2+bx+c and h(x) = x2+b1x+c1 do not have real roots, and f(x)=g(x)/h(x) then ...
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what is the value of plank's constant? ...
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The value of wavelength when the frequency is 3 Hz.. ...
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The convex surface of a thin concavo-convex lens of glass of refractive index 1.5 has a radius of curvature 20 cm. The concave surface has a radius of curvature 60 cm. The convex side is silvered and placed horizontally. The ...
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The convex surface of a plano convex lens is silvered whose radius of curvature is 30 cm. The focal length of the mirror thus formed is (refractive index of medium is 1.5) ...
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A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of the combination is ...
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A thin concave and a thin convex lens are in contact. The ratio of the magnitude of power of two lenses is 3/2 and focal length of combination is 30 cm, then focal length of individual lenses are (concave and convex) ...
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The concave surface of a thin concavo-convex lens of glass of refractive index 1.5 has a radius of curvature 20 cm. The concave surface has a radius of curvature 60 cm. The convex side is silvered and placed on a horizontal s ...
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A concave lens of glass, refractive index 1.5, has both surfaces of same radius of curvature R. On immersion in a medium of refractive index 1.75, it will behave as a ...
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A thin convex lens of focal length 30 cm forms an image 2 cm high of an object at infinity. A thin concave lens of focal length 20 cm is placed 26 cm from the convex lens on the side of the image. The height of the image is n ...
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A converging lens is used to form an image on a screen. When the upper half of the lens is covered by an opaque screen, ...
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In the previous question, find the focal length of the lens when the rays are falling on the curved part first ...
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A plano-convex lens has a thickness of 4cm. When placed on a horizontal table, with the curved surface in contact with it, the apparent depth of the bottom-most point of lens is found to be 3 cm. If the lens is inverted such ...
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Two identical prisms of refractive index √3 are kept as shown in the figure. A light ray strikes the first prism at face AB such that the first prism has minimum deviation. Through what angle the prism DCE should be rotated ...
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An isosceles prism of angle 120° has a refractive index 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite faces *Image* ...