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الجبرا، عدم مساوات اور گنتی
9 سوالات: نیٹ ریاضی، جوابات اور وضاحت کے ساتھ۔
جوابی کنجی کے ساتھ قابلِ پرنٹ ورک شیٹ
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What is the sum of the squares of the roots of x² - 3x + 2 = 0?
- 1 5
- 2 3
- 3 4
- 4 9
جواب دیکھیں
درست جواب: 5
The roots are 1 and 2, so the sum of the squares is 1 + 4 = 5.
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If x² - 5x + 6 = 0 has roots alpha and beta, what is alpha² + beta²?
- 1 25
- 2 11
- 3 5
- 4 13
جواب دیکھیں
درست جواب: 13
Sum = 5 and product = 6, so alpha² + beta² = 25 - 12 = 13.
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How many terms are there in the expansion of (a + b)⁸?
- 1 7
- 2 9
- 3 10
- 4 8
جواب دیکھیں
درست جواب: 9
The expansion of (a + b)^n has n + 1 terms, so here there are 9.
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The sum of the first n natural numbers is 210. What is n?
- 1 15
- 2 21
- 3 19
- 4 20
جواب دیکھیں
درست جواب: 20
n(n + 1) / 2 = 210 gives n(n + 1) = 420, which is true for n = 20.
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Which values of x satisfy |x - 2| < 3?
- 1 x > -1
- 2 x < 5
- 3 x < -1 or x > 5
- 4 -1 < x < 5
جواب دیکھیں
درست جواب: -1 < x < 5
|x - 2| < 3 means -3 < x - 2 < 3, so -1 < x < 5.
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What is the remainder when x³ - 2x² + x - 5 is divided by x - 2?
- 1 0
- 2 3
- 3 -5
- 4 -3
جواب دیکھیں
درست جواب: -3
By the remainder theorem, substitute x = 2: 8 - 8 + 2 - 5 = -3.
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What is log base 10 of 0.001?
- 1 3
- 2 -2
- 3 -3
- 4 0.001
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In how many different ways can the letters of the word BOOK be arranged?
- 1 12
- 2 8
- 3 24
- 4 6
جواب دیکھیں
درست جواب: 12
There are 4 letters with the letter O repeated twice, so the number of arrangements is 4! / 2! = 12.
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What is the value of 5C2?
- 1 25
- 2 20
- 3 5
- 4 10