Recently Active Past Iit Jee Question Questions

L=\lim_{x\rightarrow 0}\frac{a-\sqrt{a^2-x^2}-x^2/4}{x^4}, a>0 if L is finite, A) a=2 B) a=1 C) L=1/64 D) L=1/32 ...

The smallest value of k for which both the roots of the equation x2-8kx+16(k2-k+1)=0 are real, distinct and have values at least 4 is ...

Let (x,y,z) be points with integer coordinates satisfying th esystem o fhomogeneous equations 3x-y-z=0 -3x+z=0 -3x+2y+z=0 Then the number of such points for which x2+y2+z2≤100 ...

The tangent PT and normal PN to the parabola y2=4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the traingle PTN is a parabola whose A) Vertex is (2a/3,0) B) Directrix is x=0 ...

If th efunction f(x) = x3+ex/2 and g(x)=f-1(x) then the value of g'(1) is ...

An ellipse intersects the hyperbola 2x2-2y2=1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola.. If the axes of the eliipse are almong the coordinate axes, then A) Equation of ellipse is x2 ...

The total no of alpha and beta particles emitted in the nuclear reaction 238U92 ->214Pb82 is ...

Tangents drawn from the point P()1.8) to the circle x2+y2-6x-4y-11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is A) x2+y2+4x-6y+19=0 B) x2+y2-4x-10y+19=0 C) x2+y2-2x+6y-29=0 ...

For th efunction f(x) = x cos 1/x , x>=1 A) for atleast one x in the interval [1,∞), f(x+2)-f(x)<2 B) lim x->∞ f'(x) = 1 C) for all x in the interval [1,∞) , f(x+2)-f(x) >2 D) f'(x) is strictly decreasing in ...

The correct stability order of the following resonance structure is + - + - - + - + H2C=N=N H2C=N=N H2C=N=N H2C=N=N A) I>II>IV>III B) I>III> II>IV C) II>I>III>IV D) III>I>IV>II ...

A fair die is tossed repeatedly until a six is obtained. Let x denote the number of tosses required. The probability thta X≥3 equals A) 125/216 B) 25/36 C) 5/36 D) 25/216 ...

if a, b, c, d are unit vectors such that (axb).(cxd)=1 and a.c=1/2 then A) a,b, care non coplanar B) b,c,d are non coplanar D) b,d are non parallel D) a,d are parallel and b,c are parallel.. ...

Th espin only magnetic moment value of C2(CO)6 is A) 0 B) 2.84 C) 4.9 D)5.92 ...

let f be a non negetive functin defined on the interval [0.1]. If 0∫x 1-(f'(t))2 = 0∫xf(t)dt.. 0≤x≤1 and f(0)=0 then A) f(1/2)<1/2 and f(1/3)>1/3 B) f(1/2)>1/2 and f(1/3)>1/3 C) f(1/2)<1/2 and f(1/3)< ...

Match each of the compounds in column I with its characteristic reaction(s) in column II Column I Column II (A) CH3CH2CH2CN (p)Reduction with Pd-C/H2 (B) CH3CH2OCOCH3 (q) Reduction with SnCl2/HCl (C) CH3-CH=CH-CH2OH (r) Devel ...

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The compound Z is (A)Mg2[Fe(CN)6] (B)Fe[Fe(CN)6] (C)Fe4[Fe(CN)6]3 (D)K2Zn3[Fe(CN)6]2 ...

The compound Y is (A)MgCl2 (B)FeCl2 (C)FeCl3 (D)ZnCl2 ...

The compound(s) that exhibit(s) geometrical isomerism is(are) (A)[Pt(en)Cl2] (B)[Pt(en)2]Cl2 (C)[Pt(en)2Cl2]Cl2 (D)[Pt(NH3)2Cl2] ...

The mass of the particle is m = 1.0 x 10-30 kg and a=6.6 m the nergy of the particle in its ground state is closest to A) 0.8meV B) 8meV C) 80meV D) 800meV ...

Paragraph for Question Nos. 16 to 18 A carbonyl compound P, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin Q. Ozonolysis of Q leads to a dicarbonyl compound R, whi ...

The correct statement(s) about the compound H3C(HO)HC-CH=CH-CH(OH)CH3 (X) is(are) (A)The total number of stereoisomers possible for X is 6 (B)The total number of diastereomers possible for X is 3 (C)If the stereochemistry abo ...

The correct statement(s) regarding defects in solids is(are) (A)Frenkel defect is usually favoured by a very small difference in the sizes of cation and anion (B)Frenkel defect is a dislocation defect (C)Trapping of an electr ...

The reaction of P4 with X leads selectively to P4O6. The X is (A)Dry O2 (B)A mixture of O2 and N2 (C)Moist O2 (D)O2 in the presence of aqueous NaOH ...

A fair die is tossed repeatedly until a six is obtained. Let x denote the number of tosses required. The probability thta X=3 equals A) 25/216 B) 25/36 C) 5/36 D) 125/216 ...

Area bounded by the curve y=ex and lines x=0 and y=e is A) e-1 B) \int_{1}^{e}{ln(e+1-y)dy} C) e- \int_{0}^{1}{e^x dx} D) \int_{1}^{e}{ln y dy} ...

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipese x2+9y2=9 meets its auxiliary circle at the point M. Then the area o fthe triangle with vertices at A, M and the orig ...

Let z= x+iy be a complex number where x and y are integers then the area o f rectangle whose vertices are roots of the equation zz3+zz3 = 350 is A) 48 B) 32 C) 40 D) 80 ...

The coordination number of Al in Crystalline state of AlCl3 is ...