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Find the coefficient of xr in the following- (x+2)n+(x+2)n-1(x+1)+(x+2)n-2(x+2)2+.....+(x+1)n ...

Radium(Atomic no. 87 and mass no.221) is a radioactive substance having half life of 4 days.Find the probability that a nucleus undergoes decay after two half lives. A.1 B.1/2 C.3/4 D.1/4 ...

There is an equiconvex lens of focal length of 20 cm.If the lens is cut into two equal parts perpendicular to the principle axis,the focal length of each part will be- (a)20cm (b)10cm (c)40cm (d)15cm ...

The probability that a randomly chosen relation from a set A = {1, 2, . . . n}, n ≥ 1 to itself is a symmetric relation is (A) 2- n2+n/2 (B) 2 -n2/2 (C) 2 n-n2/2 (D) 2 n+1-n2/2 ...

Happy New year everyone. So, I recently watched Dhoom 3 and came across this scene where Amir Khan, and Amir Khan are on a launch, and are facing Abhishek Bachchan and Uday Chopra. Then they decide to fuse or join their bikes ...

The equation of the circle passing through the points (0, 0),(0,b) and (a,b) is a) {{x}^{2}}+{{y}^{2}}+ax+by=0 b) {{x}^{2}}+{{y}^{2}}-ax+by=0 c) {{x}^{2}}+{{y}^{2}}+x+3y=0 d) {{x}^{2}}+{{y}^{2}}+ax-by=0 ...

Centre of hyperbola 9{{x}^{2}}-16{{y}^{2}}+18x+32y-151=0 is a) (1, –1) b) (–1, 1) c) (–1, –1) d) (1, 1) ...

If x,y and z are electronegativity,ionisation potential and electron affinity respectively.Then the electron affinity(z) in the terms of electronegativity(x) and ionisation potential(y) will be A.z=x+y/2 B.z=x-y/2 C.z=[(x)^2+ ...

3)Which of the following statement is wrong? a the IUPAC name of alkenes ends with suffix –ene b the IUPAC name of alkynes ends with suffix –yne c the substituents gets lower number in comparison to functional group d the ...

The equation of the tangent to the parabola {{y}^{2}}=4x+5 parallel to the line y=2x+7 is a) 2x-y-3=0 b) 2x-y+3=0 c) 2x+y+3=0 d) None of these ...

The curve described parametrically by x={{t}^{2}}+t+1,y={{t}^{2}}-t+1 represents a)A pair of straight lines b)An ellipse c)A parabola d)A hyperbola ...

Eccentricity of the parabola {{x}^{2}}-4x-4y+4=0 is__ e=0 __ e=1 __ e>4 __ e=4 ...

The axis of the parabola 9{{y}^{2}}-16x-12y-57=0 is__ 3y=2 __ x+3y=3 __ 2x=3 __ y=3 ...

The one which does not represent a hyperbola is__ xy=1 __ {{x}^{2}}-{{y}^{2}}=5 __ (x-1)(y-3)=3 __ {{x}^{2}}-{{y}^{2}}=0 ...

The equation of the hyperbola whose directrix is x+2y=1 , focus (2, 1) and eccentricity 2 will be__ {{x}^{2}}-16xy-11{{y}^{2}}-12x+6y+21=0 __ 3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y-1=0 __ {{x}^{2}}+16xy+11{{y}^{2}}-12x-6y+21=0 __ ...

A sphere of radius 1 cm has potential of 8000 V, then energy density near its surface will be__64 X 105 J/m3__8 X 103 J/m3__32 J/m3__2.83 J/m3 ...

The number of nearest Cl- ions present around a Cs+ ions in CsCl crystal is__6__8__12__4 ...

The numbers of tetrahedral and octahedral voids respectively present in closest packed crystals containing ‘X’ number of spheres are__2X and X__X and 2X__4X and 2X__4X and X ...

If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...

The period of the function f(x)=2cos frac{1}{3}(x-pi ) is ...

Which of the following is an even function? ...

If f:R o R,, then f(x),=,|x| is ...

Domain of definition of the function f(x),=frac{3}{4-{{x}^{2}}}+{{log }_{10}}({{x}^{3}}-x),, is ...

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Let and c be two vectors perpendicular to each other in the xy-plane. All vectors in the same plane having projections 1 and 2 along b and c respectively, are given by ...

The length of the latus rectum of the ellipse is ...

A2 and B2 are two diatomic molecules with bond energies of A-A and B-B bonds as x and y respectively.If the bond energy of the molecule A-B formed up from A2 and B2 is z.Then,the resonance energy of molecules A-B will be A.(â ...