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Logarithm of a Complex Number

If the sum of...

Question

If the sum of the roots of an equation is –2 and the sum of their cubes is 82, then the equation is

यदि एक समीकरण के मूलों का योगफल –2 है तथा इसके घनों का योगफल 82 है, तब समीकरण है

A

x² + 2x + 9 = 0

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B

x² + 2x + 15 = 0

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C

x² + 2x + 19 = 0

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D

x² + 2x + 10 = 0

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Solution

The correct option is B x² + 2x + 15 = 0
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Q. Sum of 3 consecutive terms in AP is 12 and their product is 60, then sum of their squares is

स.श्रे. में 3 क्रमागत पदों का योगफल 12 है तथा इनका गुणनफल 60 है, तब इनके वर्गों का योगफल है

Q. If the product of the roots of the equation

2 x^{2} + 6 x + α^{2} + 1 = 0

is –α, then the value of α is

यदि समीकरण

2 x^{2} + 6 x + α^{2} + 1 = 0

के मूलों का गुणनफल –α है, तब α 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. This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : If the supplement of an angle is four times of its complement angle, then the sum of three times of its complement with two times of its supplement angle is 330°.
A : यदि एक कोण का संपूरक कोण इसके पूरक कोण का चार गुना है, तब इसके पूरक के तीन गुना तथा इसके संपूरक के दो गुना का योगफल 330° है।

R : Two angles are called complementary angles if their sum is 90° and two angles are called supplementary angles if their sum is 180°.
R : दो कोण पूरक कोण कहलाते हैं यदि उनका योगफल 90° है तथा दो कोण संपूरक कोण कहलाते हैं यदि उनका योगफल 180° है।

Q. If the sum of areas of three squares is (a² + b² + c² + ab + bc + ca), then sum of their perimeters can be

यदि तीन वर्गों के क्षेत्रफलों का योगफल (a² + b² + c² + ab + bc + ca) है, तब उनके परिमापों का योगफल हो सकता है

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