Algebra Question with answer Practice Question and Answer
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Q: If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is :
639 05f1e99e21b4d8003eeb16c16
5f1e99e21b4d8003eeb16c16- 1$${4\over3}$$false
- 2$${-4√7\over3}$$false
- 3$${11\over2}$$false
- 4$$-{4\over3}$$true
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Answer : 4. " $$-{4\over3}$$"
Q: If x is real then the minimum value of (x2-x-1) is :
694 05f1e99181b4d8003eeb16b6c
5f1e99181b4d8003eeb16b6c- 11false
- 2$$-{5\over 4}$$true
- 3$$3\over 4 $$false
- 40false
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Answer : 2. " $$-{5\over 4}$$"
Q: If a2x+2=1, where a is a positive real number other than 1, then x is equal to
715 05f1e98883b87486bfc54a8e5
5f1e98883b87486bfc54a8e5- 10false
- 21false
- 3– 2false
- 4– 1true
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Answer : 4. "– 1 "
Q: If x, y are two positive real number and $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?
928 05f1e96893b87486bfc54a7c6
5f1e96893b87486bfc54a7c6- 1$$x=y^3$$false
- 2$$x^{20}=y^{15}$$true
- 3$$x^3=y^4$$false
- 4$$x^3=y$$false
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Answer : 2. " $$x^{20}=y^{15}$$"
Q: If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is
727 05f1e953c3b87486bfc54a61f
5f1e953c3b87486bfc54a61f- 10false
- 28false
- 312true
- 4-12false
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Answer : 3. "12 "
Q: Two numbers x and y (x>y) such that their sum is equal to three times their difference. Then value of $$3xy\over 2(x^2-y^2$$ will be
738 05f1e94da1b4d8003eeb15707
5f1e94da1b4d8003eeb15707- 1$$1{1\over 2} $$false
- 2$$1{1\over 3} $$false
- 3$$ {2\over 3}$$false
- 41true
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Answer : 4. " 1"
Q: If $$ P={{x^2-36}\over{x^2-49}}$$ and $$ Q={{x+6}\over{x+7}}$$ then the value of $$ {P\over{Q}}$$ is.
836 05f1546beeddbc50839d492d2
5f1546beeddbc50839d492d2- 1$$ {x-6}\over {x-7}$$true
- 2$$ {x-6}\over {x+7}$$false
- 3$$ {x-7}\over {x+6}$$false
- 4$$ {x+6}\over {x-7}$$false
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Answer : 1. "$$ {x-6}\over {x-7}$$"
Q: If a+b=17,and a – b =9, then the value of $$ {(4a^2+4b^2)}$$ is:
1019 05f1543f49a713b0717c794f8
5f1543f49a713b0717c794f8- 1710false
- 2720false
- 3730false
- 4740true
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Answer : 4. "740"
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