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If 0<ar<1 for r=1,2,3....k and m be the number of real solns of kΣr=1(ar)x=1 and n be the number of solns of kΣr=1(x-ar)101=0 then a] m=n b] m≤n c] m≥n d] m>n ...

If θi belongs to [0, π/6 ] and z4sinθ1+z3sinθ2+z2sinθ3+zsinθ4+sinθ5=2 then z satisfies a] |z|> 3/4 b] |z|< 1/2 c] 1/2 <|z|< 3/4 ...

If 2 roots of (c-1)(x2+x+1)2-(c+1)(x4+x2+1)=0 are real and distinct and f(x)= 1-x/1+x then f{f(x)}+f{f( 1/x )}= a]-c b]c c]2c d]none of these ...

If x2-4cx+b>0 and a2+b2<ab then the range of x+a/x2+bx+c is a]R- b]R+ c]R d]none of these ...

If f(x)=x3-6x2+(π+1)x+7 and p>q>r then [x-f(p)][x-f(r)]/x-f(q) has no value in a](p,q) b](q,r) c](r,∞) d]none of these ...

5 pirates of different ages have a treasure of 100 gold coins. On their ship, they decide to split the coins using this scheme: The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote fo ...

What is the difference between magnetic flux and magnetic field? ...

probability of solving a particular sum by A,B,C, respectively 1/2 , 1/3 , 1/4 , then what is the probability that the problem can be solved ...

Which of the molecules will have polar bonds but zero dipole moment? A] O2 B] CHCl3 C] CF4 D] None of these ...

Please explain- i) How do the electrons get accelearted in a hot Cathode Ray Tube? ii) What is the utility of the "control grid" in the Cathode Ray Tube? ...

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'Lock jaw' is another name of: (a) malaria (b) kala-azar (c) tetanus (d) diptheria ...

If α be the number of solns of the equation [sin x]=|x|, (where [.] represents greatest integer function) and m be the greatest value of cos(x2+xex-[x]) in the interval [-1,1], then what is the relation between α and m (α ...

For all real numbers a; b; c prove the following chain inequality 3(a2 + b2 + c2) ≥  (a + b + c)2  ≥ 3(ab + bc + ca): ...

What are the roots of x3+px2+q=0 in terms of p and q ...

Arrange these according to the strengths of the σ-bonds they form along with proper reasons: s-s , s-p, p-p overlap of At. orbitals. ...

If a, b, c, d are unequal +ve numbers then the roots of the equation x/x-a + x/x-b + x/x-c +x+d=0 are necessarily a)all real b)all imaginary c)2 real 2 imaginary d)atleast 2 real ...

Chlorine is quite electronegative. So, why is hydrogen bond not present in HCl? Thanx... ...

Show that a plumb line deviates from the vertical line slightly at all latitudes except 0° and 90° due to the diurnal motion of the earth. Also show that this effect is maximum at the latitude 45° and hence determine this ...

If wavelength of light changes inside water due to refraction, why does the colour of light not change? Thanx in advance... ...

The reason why some mutations, which are harmful, do not get eliminated from the gene pool is that (a) they are recessive and carried by heterozygous individuals (b) they are dominant and show up more frequently (c) genetic d ...

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If Cr=nCr,the sum of the series 2[( n/2 )fact)2]/nfact [C02-2C12+3C22-......(-1)n(n+1)2Cn2] where n is even integer,is (a)0 (b)(-1) n/2 .(n+1) (c)(-1)n.(n+2) (d)(-1)n.n (e)none of these Ans is (e)..however..pls provide the so ...

The circle x2+y2+2kx=0,k belongs to R,touches the parabola y2=4x externally.Then (a)k>0 (b)k<0 (c)k>1 (d)none of these Ans is (a). i have put y2=4x in the eq.of the circle.and in the quad.of x,i put b2=4ac.i got k=-2 ...

If cos θ + cos2 θ = 1, then sin12 θ + 3 sin10 θ + 3 sin8 θ + sin6 θ + 2 sin4 θ + 2 sin2 θ – 2 = (A) 0 (B) 1 (C) 2 (D) 3 Thanx in advance... ...