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Let x,y be the real numbers satisfying the equation x2+2x+y2+2y-47=0 If the maximum and minimum values of x2+y2-4x-6y+13 are M and m respectively, then the numerical value of M-m is ...
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This is being cancelled find the area bounded by the curves x2+y2=4 x2+y2-2|x|-2|y|+4≤0 If want to solve then second circle equation is x2+y2-2|x|-2|y|-4≤0 ...
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\lim_{x\rightarrow 0}\left(tan\frac{\pi x}{4} \right)^{tan\frac{\pi x}{2}} ...
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f(x)+f(y)=f\left(\frac{x+y}{1-4xy} \right) for x,y in R (4xy≠1) \lim_{x\rightarrow 0}\frac{f(x)}{x}=2 find f'(1) ...
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For the expansion (1+x)10 C0+C3+C6+C9= ...
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The greatest value of x2y3z4 (x+2y+3z=1, x,y,z>0) is ...
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Straight Objective Type find the summation of the series to infinite terms 1/3 + 1/3 + 7/27 + 5/27 + .... ...
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A bullet is fired from a gun. The force on the bullet is given by F = 600 - (2*(105))t where F is in Newton, t in second.The force on the bullet becomes zero as soon as it leaves the barrel. The impulse imparted to the bu ...
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In a one dimensional collision between two identical particles A and B, B is stationary and A has moentum P before impact. During impact B gives an impulse J to A. Then the coefficient of restitution between the two is: ...
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Ball 1 collides with an another identical ball 2 at rest, on a horizontal smooth table. For what value of coefficient of restitution e, the velocity of second ball becomes twice as that of 1, after collision? ...
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When force F1,F2,F3 are acting on a particl of mass m such that F2 and F3 are mutually perpendicular, then the particle remains stationary. If the force F1 is now removed, then acceleration of the particle is... ...
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what does reynold no > 3000 indicate??? ...
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A horizontal plane supports a plank with a bar of mass m=1 kg placed on it and attached light elstic cord of length l=40cm to a point O . Coefficient of friction b/w bar and plank equals k=0.20.The plank is slowly ...
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there is no 'S-S' bond in ...
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which one of the following will yield hydro carbon when reacted with grignard reagent ...
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Find numerically greatest term in the expansion of (2 + 3x)9, when x = 3/2 ...
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C0 C1 + C1C2 + C2C3 + ......Cn–1 Cn ...
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Show that 32n+2 – 8n – 9 is divisible by ...
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Find the relation between r and n so that coefficient of 3rth and (r + 2)th terms of (1 + x)2n are equal. ...
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Find the coefficient of x11 in the expansion of (2x2 + x – 3)6 ...
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Match the No. of common tangents that can be drawn to these circles is (20) x2+y2+2x-2y-2=0 & x2+y2-4x-10y+13=0 (a) 1 (21) x2+y2-4x+8y-29=0 & x2+y2+2x-3=0 (b) 2 (22) x2+y2-6x+16y+37=0 & x2+y2+4x-8y-29= ...
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If in the 2nd part of the question, for each boy who has a crush on a girl, if the girl has a crush on some other guy, then the number of ways this is possible is? ...
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If no girl is the common crush of any other guy, the number of ways is given by? ...
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comprehension for ques 17-19 5 boys and 10 girls go for a school picnic. each boy has a crush on exactly 1 girls and each girl has a crush on exactly 1 boy. What is the number of ways for the guys to have a crush on each othe ...
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Match the following (59) Periodic motion (a) May repeat after equal intervals of time (60) Oscillatory motion (b) May oscillates about mean position (61) SHM (c) will oscillate about a mean position (d) will repeat after equa ...