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Iceberry
  • Member for 4 years, 3 months
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  • Antarctica
4 votes
2 answers
2k views

The number of 5-digit numbers of the form abcde where a,b,c,d,e belong to ${0,1,2,...9}$ and $b = a + c$, $d = c + e $ are?

3 votes
4 answers
1k views

If $f(x)$ is a twice differentiable function and given that $f(1) = 2, f(2) = 5$ and $f(3) = 10$ then

8 votes
3 answers
1k views

In an acute triangle ABC, the base BC has the equation $4x – 3y + 3 = 0$. If the coordinates of the orthocentre (H) and circumcentre (P).

6 votes
3 answers
835 views

To find the smallest value of 'k' for the following equation

3 votes
3 answers
706 views

Find the period of $g(x) = f(2^x,0)$ for $f(x,y) = f(2x + 2y, 2y - 2x)$

1 vote
1 answer
651 views

Let $f(x)$ be a $n$ degree polynomial function having $n$ real and distinct roots. If $g(x) = f'(x) + 100f(x)$ [closed]

0 votes
1 answer
570 views

The area of the triangle formed by the coordinate axes and tangent at vertex to the parabola whose focus is $(3,4)$

0 votes
2 answers
449 views

The set of values of $a$ for which the function does not posses critical points

2 votes
1 answer
168 views

Find a and p in the given question

1 vote
1 answer
142 views

What is the probability that $^{\text{n}}\text{C}_{7}$ is divisible by $12$?

2 votes
1 answer
133 views

Flaw in evaluating $\lim_{x\to \infty}\left(\frac{P(x)}{5(x-1)}\right)^x$

0 votes
1 answer
133 views

Proving two sides of a convex quadrilateral are equal for given condition.

1 vote
2 answers
91 views

The minimum value of $\mathrm{k \in \Bbb Z}$ for the equation $\mathrm{e}^x = kx^2$ to have maximum number of solutions

1 vote
1 answer
81 views

Sum of series $\sqrt{1+\frac1{n^2}+\frac1{(n+1){}^2}}$

0 votes
2 answers
62 views

Example where $𝜅_𝑓 (x), 𝜅_𝑔 (y) \geq 10$ but $𝜅_ℎ (x) ≤ 1$

1 vote
0 answers
45 views

Discuss the existence and uniquness of IVP $y=g(x)\dfrac{dy}{dx}, y(0)=1$

-1 votes
1 answer
41 views

Suppose the numbers $1,2,3,...,10$ are spilt into two disjoint collections