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If the locus of the mid points of the chords of the circle x2+y2=16 which are tangents to the hyperbola 9x2-16y2=144 is given by (x2+y2)a= bx2-cy2 then find the value of a+b+c. ...
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1) In a series resonant LCR circuit the voltage across R is 100V and R= 1KΩ, C=2μF. The resonant frequency ω is 200 rad s-1. At resonance, the voltage across L is: a)40 b)250V c)4*10-3V d)2.5*10-2V 2)A coil of inductance 3 ...
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A step down transformer reduces 220V to 11V. the primary draws 5amp. of current and the secondary supplies 90amp. The efficiency of transformer is: 1) 20% 2)44% 3) 90% 4)100% ...
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*Image* is treated with H2SO4 and heated. Wat is d product formed???? ...
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(1) The no. of solutions of the equation 2^{\left|x \right|}\left(\sqrt{1-x^{2}} \right)=1 is ? (2)The order of the differential equation y=C_{1}e^{x+c_{2}}+C_{3}e^{x+c_{4}} + C_{5}\sin (x+C_{6})+C_{7}\cos (x+C_{8}) is equal ...
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1) Consider two functions f(x)=1+ e^{\cot ^{2}x} and g(x)= \sqrt{2\left|\sin x \right|-1}+ (\frac{1+\cos 2x}{1+ \sin ^{4}x}) Statement-1: The solutions of the equation f (x) = g (x) is given by x=(2n+1)\frac{\Pi }{2} for all ...
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Consider a parabola y=\frac{x^{2}}{4} and the point F (0, 1). Let A1(x1, y1), A2(x2, y2), A3(x3, y3),........, An(xn, yn) are 'n' points on the parabola such xk > 0 and <OFA_{k}=\frac{k\Pi }{2n} (k=1,2,3,....,n) . Then ...
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An electron falls through a distance of 1.5 cm in a uniform electric field of magnitude 2.0\times 10^{4}NC^{-1} . The direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same dist ...
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Consider three charges q,q and -q is placed at the vertices of an equilateral triangle, as shown in fig what is the force on each charge? \left|F_{1} \right|=\left|F_{2} \right|=F and \left|F_{3} \right|=\sqrt{3}F *Image* ...
