ujjwal
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 Ujjwal Mishra
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Questions Asked

ujjwal:
Group Title
\[r=\sqrt{x^2+y^2+z^2}\]
\[u=\frac{1}{r}f(rct)\]
where c is constant
…
 updated one month ago
 13 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Determine whether \(a_n\) is converging or diverging
\(a_1\)=2
\(a_{n+1}\)=3\(a_n\)2
 updated 9 months ago
 6 replies
 2 Medals
Mathematics

ujjwal:
Group Title
The tension in rope AB is T. The tension in rope CP is S. The accelerations of A, B and C are respectively a,b, and c.
Find T and c.
Figur…
 updated 11 months ago
 54 replies
 1 Medal
Mathematics

ujjwal:
Group Title
find the remainder of each of the following polynomials divided by \(x^2+1\)
1)\((1+x)^4\)
2)\((1x)^{32}\)
 updated 11 months ago
 38 replies
 1 Medal
Mathematics

ujjwal:
Group Title
solve the inequality
\(x^2(5a^2a+15)x+6a^4+30a^2+54<0\)
where a is constant
 updated 11 months ago
 27 replies
 2 Medals
Mathematics

ujjwal:
Group Title
let c be a natural number such that \(2\leq c\leq 8\). If simultaneous equations
\(2x1+cy=0\)
\(x^2+2xyy=0\)
…
 updated 11 months ago
 4 replies
 1 Medal
Mathematics

ujjwal:
Group Title
Factorize
\(x^46x^2+1\)
 updated 11 months ago
 22 replies
 4 Medals
Mathematics

ujjwal:
Group Title
p and q are odd numbers, prove that the quadratic equation
\(x^2+px+q=0\) has
1) no integer solution
…
 updated 11 months ago
 32 replies
 4 Medals
Mathematics

ujjwal:
Group Title
let f(x) be a quadratic polynomial. if, f(0),f(1),f(1)\(\in\mathbb{z}\), then show that f(n)\(\in\mathbb{z}\) for all \(n\in\mathbb{z}\)
 updated 11 months ago
 39 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find all \(a\in\mathbb{R}\) such that
\((a+2)x^2(a+1)x+a=0\)
has at least one integer solution
 updated 11 months ago
 11 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find a necessary and sufficient condition on \(a\in \mathbb{R}\) for a quadratic equation
\(x^2+2(a+3)xa+3=0\)
to have roots such that…
 updated 11 months ago
 9 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Factorize \(2a^35a^210a+2\)
 updated 11 months ago
 21 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Find all combinations of a,b,c and d which makes the following equality an identity
\((xa)^2(xb)^2=x^42x^33x^2+cx+d\) where a<b
 updated 11 months ago
 10 replies
 1 Medal
Mathematics

ujjwal:
Group Title
Let \(f(x)\) be a polynomial in x with integral coefficients. Show, if \(a\equiv b (\mod m)\), then \(f(a)\equiv f(b)(\mod m)\)
 updated 11 months ago
 14 replies
 2 Medals
Mathematics

ujjwal:
Group Title
Show that \(2450^n1370^n1150^n250^n\) is divisible by 1980 for all \(n\epsilon N\)
 updated 11 months ago
 22 replies
 2 Medals
Mathematics

ujjwal:
Group Title
prove \(\tan ^{1}x>\frac{x}{1+\frac{1}{3}x^2}\) where x>0
 updated 11 months ago
 17 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find equivalent polynomial equation of \(\sqrt{a^24ab+4b^2}\)
 updated 11 months ago
 4 replies
 1 Medal
Mathematics

ujjwal:
Group Title
A(0,1), B(2,0), C(2,2) and P(a,0) where 0<a<2 are four given points. Q id the intersection of AB and PC. Find coordinates of Q.
 updated one year ago
 5 replies
 1 Medal
Mathematics

ujjwal:
Group Title
The coefficient of friction between blocks A and B and the horizontal surfaces are \(\mu_s\)=0.24 and \(\mu_k\)=0.20 . Knowing that \(m_A\)…
 updated one year ago
 46 replies
 1 Medal
Mathematics

ujjwal:
Group Title
How would you relate Diffraction and Heisenberg's Uncertainty Principle? Is Diffraction just a special case of Heisenberg's Uncertainty Prin…
 updated one year ago
 27 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Is there any means by which i can decrease the frequency of alternating current delivered to my house?
 updated one year ago
 7 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
What is there inside a neon light screw driver tester and how does it work?
I mean this thing: http://www.hunterswholesalers.co.uk/images/…
 updated one year ago
 23 replies
 6 Medals
Mathematics

ujjwal:
Group Title
How does heat reflective glass reflect only heat and pass light?
I read that it is done by simply reflecting ultraviolet and infrared rays…
 updated one year ago
 13 replies
 2 Medals
Mathematics

ujjwal:
Group Title
The universe is expanding. Does it mean that the distance between sun and earth is increasing?
If yes, will sunlight, at some point of time…
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Is there a proof for \[\frac{dx}{dx}=\frac{x}{\sqrt x^2}\] and what do we do when x is negative?
 updated one year ago
 10 replies
 4 Medals
Mathematics

ujjwal:
Group Title
The center of ellipse\[\frac{(x+y2)^2}{9}+\frac{(xy)^2}{16}=1\]is:
 updated one year ago
 16 replies
 3 Medals
Mathematics

ujjwal:
Group Title
The sum of infinite series \(13x+5x^27x^3+....to \infty\) when x<1 is:
a)\[\frac{1x}{1+x^2}\]
b)\[\frac{1+x}{1x^2}\]
…
 updated one year ago
 18 replies
 3 Medals
Mathematics

ujjwal:
Group Title
The st line x=my+c will be normal to \(x^2=4ay\) if:
a)\(c=2amam^3\)
b)\(c=\frac{a}{m}\)
…
 updated one year ago
 14 replies
 2 Medals
Mathematics

ujjwal:
Group Title
What is the difference between gravitational lensing and refraction? Difference in terms of their effects or the way they affect light.. Of …
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
A capacitor of 10 \(\mu\) F charged up to 250 V is connected in parallel with another capacitor of 5 \(\mu\) F charged up to 100 V. The comm…
 updated one year ago
 10 replies
 2 Medals
Mathematics
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