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Ratio and Proportion

If 5a + 6c – ...

Question

If 5a + 6c – 5b = 25 and c – 2b + 2a = 3 (where a, b and c are real numbers), then the value of $\frac{c}{(b - a)}$ is equal to

यदि 5a + 6c – 5b = 25 तथा c – 2b + 2a = 3 (जहाँ a, b व c वास्तविक संख्याएं हैं), तब $\frac{c}{(b - a)}$ का मान है

A

25

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B

15

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C

10

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D

5

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Solution

The correct option is D 5
Solution

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Q. If 5x + 6z – 5y = 25 and z – 2y + 2x = 3 (where x, y and z are real numbers), then the value of

\frac{x - y}{z}

is equal to

यदि 5x + 6z – 5y = 25 तथा z – 2y + 2x = 3 (जहाँ x, y व z वास्तविक संख्याएं हैं), तब

\frac{x - y}{z}

का मान है

Q. If the sum of the zeroes, product of the zeroes and the sum of the coefficients of the polynomial f(x) = ax² + bx + c (a ≠ 0 and a, b, c are real numbers) are equal and sum of coefficients is m, then a equals

यदि बहुपद f(x) = ax² + bx + c के शून्यकों का योगफल, शून्यकों का गुणनफल तथा गुणांकों का योगफल समान है (a ≠ 0 तथा a, b, c वास्तविक संख्याएं हैं) तथा गुणांकों का योगफल m है, तब a का मान है

Q. The pair of equations y = 6b + 5 and x = 2a + 5, where a, b are real numbers, graphically represents lines which are

समीकरणों का युग्म y = 6b + 5 तथा x = 2a + 5 है जहाँ a, b वास्तविक संख्याएं हैं, ग्राफीय रूप से उन रेखाओं को दर्शाते हैं जो

Q. If a² + b² + c² + ab + bc + ca = 89 and (a + b) : (b + c) : (c + a) = 12 : 5 : 3, where a, b and c are real numbers, then (a² + b² + c² – ab – bc – ca) equals

यदि a² + b² + c² + ab + bc + ca = 89 तथा (a + b) : (b + c) : (c + a) = 12 : 5 : 3, जहाँ a, b व c वास्तविक संख्याएँ हैं, तब (a² + b² + c² – ab – bc – ca) बराबर है

2 p (a - b) + 3 q (5 a - 5 b) + 4 r (2 b - 2 a)

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