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A mass m is moving with a constant velocity along a line parallel to the X-axis away from the origin, its angular momentum with respect origin ...
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A body floats in a liquid contained in a beaker. The whole system as shown in the figure, falls freely under gravity. The upthrust on the body is *Image* ...
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An ideal spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is ...
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A mass m rests under the action of a force F as shown in the figure on a horizontal surface. The coefficient of friction between the mass and the surface is μ. The force of friction between the mass and the surface is *Image ...
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A projectile as seen from another projectile is a ...
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The equation y2/(1-r)-x2/(1+r)=1, r>1 represents ...
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If cotθ=-4/3, then cosθ is ...
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The value of k for which the line (x-k)/2=(y-3)/3=(z-4)/1 lies on the plane 2x-y+z=7 is ...
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Two identical dice are rolled, find the probability that the product of the numbers is less than 15 ...
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A five digit number divisible by 6 is to be formed using the numbers 0,1,2,3,4,5 without repetition. The total number of ways this can be done is ...
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a and b are two unit vectors such that a+2b and 5a-4b are perpendicular to each other, then the angle between a and b is ...
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a, b and c are unit coplanar vectors, then the scalar triple product [3a-2b 3b-2c 3c-2a]= ...
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For all complex numbers z1, z2 satisfying |z1|=15 and |z2-3-4i|=5, the minimum value of |z1-z2| is ...
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Let the positive numbers a,b,c,d be in H.P., Then abc, abd,acd and bcd are in ...
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tan[sin-1(3/5)+tan-1(2/3)]= ...
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A man from the top of a 100 metres high tower sees a car moving towards the tower at an angle of depression of 30°. After sometime, the angle of depression becomes 60°. The distance traveled by car the car during this time ...
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The sides of a triangle are in the ratio 1:√3:2, then the angles of the triangle are in the ratio ...
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The no. of solution of the 3sinx=4-(√6)cosx in the interval [0,2π] is ...
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Orthocentre of triangle formed by the lines whose combined equation is (y2-5xy-x2)(3x-2y+8)=0 is ...
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The area bounded by the curves 6|x|+7|y|=21 is ...
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\int_{0}^{\pi /2}{[sin^{3}xcosx]dx} where [.] is the greatest integer function ...
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\begin{vmatrix} a+b-2 &a+b &a+b+2 \\ b-1 &b &b+1 \\ c-1 &c &c+1 \end{vmatrix} for values of (a,b,c)=(12,17,8) find the value of determinant ...
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The remainder when 1!+2!+3!+....+100! is divided by 18 ...
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The maximum value of cos(ex) where x>0 is ...
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The domain of the function y=1/ln(1-x)+ x+1 ...
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Complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-√3)/2 are the vertices of a triangle which is ...
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If a2+b2+c2=1, then ab+bc+ca lies in the interval ...
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if the quadratic equations x2+ax+b=0 and x2+bx+a=0 have a common root, then the numerical value of a+b is ...
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When KI and CuSO4 solutions are mixed, it gives ...
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Which of the following about H2S is false? ...