Maths Olympiad Daily Problems
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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.
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| Sana | Obunachilarni jalb qilish | Esdaliklar | Kanallar | |
| 04 Iyul | +1 | |||
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Kanal postlari
| 2 | Matn yo'q... | 262 |
| 3 | Matn yo'q... | 275 |
| 4 | If the expression is equal to ae + b/e + c where a,b,c belong to Z
Find the value of a²-b+c | 316 |
| 5 | Problem from Veer
Re-formatted
Let a, b, c and d be the zeroes of
P(x) = 5x⁴ + px³ + qx² + rx + s
and
Let a, c and d be the zeroes of
Q(x) = x³ - 9x² + tx - 24
If a, c and d are in AP and
a, b, c and d are in HP,
Find the value of |(P(1)/Q(1))| | 330 |
| 6 | Let a,b,c,d be zeroes of p(x)=5x⁴+px³+qx²+rx+s and a,c,d be the zeroes of q(x)=x³-9x²+tx-24
If a,c,d are in AP and a,b,c,d are in HP
Find the value of | (p(1)/q(1)) | | 1 |
| 7 | Matn yo'q... | 356 |
| 8 | Matn yo'q... | 1 |
| 9 | A straight line through the vertex P of a triangle PQR intersects the side QR at the point S and circumcircle of triangle PQR at the point T.
If S is not the centre of the circumcircle,then
A) 1/PS + 1/ST < 2/√(QS×SR)
B) 1/PS + 1/ST > 2/√(QS×SR)
C) 1/PS + 1/ST <4/QR
D) 1/PS + 1/ST >4/QR | 382 |
| 10 | Problem from Veer Jain
*Edited due to typo errors*
If a, b and c are the positive roots of the eqn
x³ - 6x² + 3px - 2p = 0 ,
then find the value of
a/b + b/c + c/a + abc | 392 |
| 11 | If a,b,c are the positive roots of the eqn
x³-6x²+3px-2p then find the value of a/b + b/c + c/a + abc | 5 |
| 12 | a³/4b + b/8c² + (1+c)/2a ≥ x
a,b,c are positive and x is the minimum value of the expression
Find the value of 16x² | 391 |
| 13 | Question:-n^3pq - n is divisible by 3pq for which p and q are distinct primes, find smallest p+q | 467 |
| 14 | Matn yo'q... | 510 |
| 15 | Matn yo'q... | 508 |
| 16 | Matn yo'q... | 507 |
| 17 | Matn yo'q... | 493 |
| 18 | Matn yo'q... | 487 |
| 19 | Matn yo'q... | 484 |
| 20 | Matn yo'q... | 475 |
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