If `abc=0`, then find the value of `([(x^(a))^(b)]^(2c))/(x^(abc))`
A. 3
B. 0
C. `-1`
D. 1
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The rms value of current is 110√2 A then its peak value of current is ………………
Correct option is A) 220 A
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Find the common difference of an A.P if \( t_{18}-t_{14}=3 L \). If \( 3+k, 18-k, 5 k+1 \) are in A.P, then find \( k \). If \( p \) and \( q \) are positive integers, then we write \( p=a^{2} b^{3} \) and \( q=a^{3} b \) if \( a \), \( b \) are numbers, then verify that L.C.M of \( (p, q) \times \) H.C.F of \( (p, q)=p q \).
t18=t1+17×d t14=t1 +13×d solving the two equtaions, t18-t14= 4d subtisting 4d=32 = d=8
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If ∆PQR ≅ ∆ABC then ∠R =
Correct option is (C) ∠C If \(\triangle PQR\) \(\cong\) \(\triangle ABC\) Then \(\angle P=\angle A,\angle Q=\angle B\;and\;\angle R=\angle C\)
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If ∆PQR ≅ ∆ABC then ∠R =
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∆ABC is isosceles with sides AB = AC; AD is the altitude, if ∠BAD = 50° then ∠CAD =
Correct option is C) 50°
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In Δ ABC, AB = AC and an exterior angle ∠ACD = 105° then ∠BAC – ?
Correct option is C) 30°
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In a right triangle ABC, AB = AC, then which of the following is FALSE ?
C) ∠A = ∠B + ∠C
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If one root of the equation \( p x^{2}+(\sqrt{3}-\sqrt{2}) x-1=0 \) is \( x=\frac{1}{\sqrt{3}} \) then find the value of \( p)
In the equation, Putting \(x=\frac{1}{\sqrt{3}}\) \(=px²+(\sqrt{3}-\sqrt{2})x+1=0\\=p(\frac{1}{\sqrt{3}})^{2}+(\sqrt{3}-\sqrt{2})\frac{1}{\sqrt{3}}+1=0\\=\frac{p}{3}+1-\frac{\sqrt{2}}{\sqrt{3}}+1=0\\ =\frac{p}{3}=\frac{\sqrt{2}}{\sqrt{3}}\\=p=\sqrt{2}×\sqrt{3}=\sqrt{6}\)
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The cost of a scooter is ₹ 42,000 and the depreciation value for every year is 8% then the value of scooter after 1 year is ……………….
Correct option is B) ₹ 38,640
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