Skolarhive Solution

(\sqrt{3} + 1) (3 - \cot 30^{ο}) = \tan^{3} 60^{ο} - 2 \sin 60^{ο}

Solved Asked by Maths_Expert_3 Mar 30, 2025 Last replied by Maths_Expert_3

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(\sin α + \cos α) (\tan α + \cot α) = \sec α + cosec α

Solved Asked by Maths_Expert_3 Mar 29, 2025 Last replied by Maths_Expert_3

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\tan A = \frac{3}{4}

\sin A \cos A = \frac{12}{25}

Solved Asked by Maths_Expert_3 Mar 29, 2025 Last replied by Maths_Expert_3

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\frac{\tan A}{1 + \sec A} - \frac{\tan A}{1 - \sec A} = 2 cosec A

Solved Asked by Maths_Expert_3 Mar 29, 2025 Last replied by Maths_Expert_3

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The number of real roots of the equation

\frac{\sin θ}{1 + \cos θ} + \frac{1 + \cos θ}{\sin θ} = 2 cosec θ

Solved Asked by Maths_Expert_3 Mar 29, 2025 Last replied by Maths_Expert_3

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\sqrt{x^{2} - 4 x + 3} + \sqrt{x^{2} - 9} = \sqrt{4 x^{2} - 14 x + 6}

, is (a) 3 (b) 2 (c) 0 (d) 1

Asked by Maths_Expert_3 Nov 08, 2024 Last replied by Maths_Expert_3

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The value of \((128^{-\frac{2}{7}})^{\frac{(64)^\frac{2}{12}}{2}\)

Asked by Maths_Expert_3 Nov 11, 2024

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Find the value of

p

5^{p - 3} = 125^{2 p - 6}

Asked by Maths_Expert_3 Nov 11, 2024

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The value of

2^{2^{2^{2}}}

Asked by Maths_Expert_3 Nov 11, 2024

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x^{x^{\frac{3}{2}}} = (x^{\frac{3}{2}})^{x}

The number of real solutions of the equation

x = ?

Asked by Maths_Expert_3 Nov 11, 2024

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| x |^{2} - 3 | x | + 2 = 0

Asked by Maths_Expert_3 Nov 08, 2024

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The equation

\sqrt{x + 1} - \sqrt{x - 1} = \sqrt{4 x - 1}

has (a) no solution (b) one solution (c) two solutions (d) more than two solutions

Asked by Maths_Expert_3 Nov 08, 2024

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The equation

x - \frac{2}{x - 1} = 1 - \frac{2}{x - 1}

has (a) no root (b) one root (c) two equal roots (d) infinitely many roots

Asked by Maths_Expert_3 Nov 08, 2024

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The sum of all roots of the equation

| x^{2} - 8 x + 15 | - 2 x + 7 = 0

Asked by Maths_Expert_3 Nov 08, 2024

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If the sum of the first

2 n

terms of AP series

2, 5, 8, \dots,

is equal to the sum of the first

n

terms of the AP series

57, 59, 61, \dots,

, then the sum of squares of these

n

equals

Asked by Maths_Expert_3 Nov 08, 2024

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If the sum of

n

terms of an AP is

c n^{2}

n

terms is

Asked by Maths_Expert_3 Nov 08, 2024

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\log_{4} A = \log_{6} B = \log_{9} (A + B)

, then the value of

\frac{B}{A}

Asked by Maths Expert_1 Nov 07, 2024

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The number of solutions of

\log_{4} (x - 1) = \log_{2} (x - 3)

. (a) 3 (b) 1 (c) 2 (d) 0

Solved Asked by Maths_Expert_3 Nov 05, 2024 Last replied by Maths_Expert_3

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x^{2} - 10 a x - 11 b = 0

have roots

c

d

x^{2} - 10 c x - 11 d = 0

have roots

a

b

, then find

\a + b + c + d

Asked by Maths_Expert_3 Nov 05, 2024

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x^{4} + \frac{1}{x^{4}} = 727

, then the value of

x^{3} - \frac{1}{x^{3}}

Solved Asked by Maths_Expert_3 Nov 03, 2024 Last replied by Maths_Expert_3

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x + \frac{1}{x} = 3

, then the value of

x^{2} + \frac{1}{x^{2}}

Asked by Maths_Expert_3 Nov 03, 2024

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\frac{1}{1 + p + q^{- 1}} + \frac{1}{1 + q + r^{- 1}} + \frac{1}{1 + r + p^{- 1}} = 1

, if

p q r = 1

Solved Asked by Maths_Expert_3 Oct 31, 2024 Last replied by Maths_Expert_3

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a^{x} = b^{y} = c^{z}

b^{2} = a c

y

equals? a)

\frac{2 x z}{(x + z)}

. b)

\frac{x z}{2 (x - z)}

. c)

\frac{x z}{2 (z - x)}

. d)

\frac{2 x z}{(x - z)}

Asked by Maths Expert_1 Sep 24, 2024 Last replied by Maths_Expert_3

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a^{x} = b^{y} = c^{z} and b^{2} = a c

If α, β are the zeroes of the polynomial

y

equals? a)

\frac{2 x z}{(x + z)}

\frac{x z}{2 (x - z)}

\frac{x z}{2 (z - x)}

\frac{2 x z}{(x - z)}

Asked by Maths Expert_1 Sep 24, 2024 Last replied by Maths_Expert_3

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x^{x} = 2^{2048}

, find

x

Asked by Maths Expert_1 Sep 23, 2024 Last replied by Maths_Expert_3

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f (x) = x^{2} - p (x + 1) - q

, then ( α+1)(β +1)=

Asked by Maths_Expert_3 Oct 13, 2024 Last replied by Maths_Expert_3

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If α, β are the zeroes of the polynomial

f (x) = a x^{2} + b x + c

If sum of the zeroes = α+β = – 8 and product of zeroes = αβ = 6, then the polynomial whose zeroes are

\frac{1}{α^{2}} + \frac{1}{β^{2}} = ?

Asked by Maths_Expert_3 Oct 13, 2024 Last replied by Maths_Expert_3

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\frac{1}{α}

If α, β are the zeroes of the polynomial

\frac{1}{β}

Asked by Maths_Expert_3 Oct 13, 2024 Last replied by Maths_Expert_3

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f (x) = a x^{2} + b x + c

If(x-4) is a factor of a quadratic polynomial p(x) and 2 is zero of p(x), then find the polynomial p(x).

\sqrt{\frac{α}{β}} + \sqrt{\frac{β}{α}} = ?

Asked by Maths_Expert_3 Oct 13, 2024 Last replied by Maths_Expert_3

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Solved Asked by Maths_Expert_3 Oct 13, 2024 Last replied by Maths_Expert_3

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If α and β are the zeroes of the polynomial

x^{2} + 5 x + c

, and

α - β = 3

If α and β are the zeroes of the polynomial

c =

? a) 0 b) 1 c) 4 d) 5

Asked by Maths_Expert_3 Oct 12, 2024 Last replied by Maths_Expert_3

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x^{2} + 5 x + c

, and

α - β = 2