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Maths-

General

Easy

Question

If the angles of a triangle are in ratio 4 : 1: 1 then the ratio of the longest side and perimeter of triangle is -

$\frac{1}{2 + \sqrt{3}}$
$\frac{2}{\sqrt{3} - 2}$
$\frac{\sqrt{3}}{2 + \sqrt{3}}$
None of these

The correct answer is: $fraction numerator square root of 3 over denominator 2 plus square root of 3 end fraction$

Related Questions to study

Which of the following pieces of data does NOT uniquely determine an acute angled triangle ABC (R being the radius of the circumcircle) -

Which of the following pieces of data does NOT uniquely determine an acute angled triangle ABC (R being the radius of the circumcircle) -

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The solution set of the equation $fraction numerator 1 over denominator left parenthesis x plus 3 right parenthesis end fraction less or equal than negative 2 space i s$

The solution set of the equation $fraction numerator 1 over denominator left parenthesis x plus 3 right parenthesis end fraction less or equal than negative 2 space i s$

parallel

Solution of $left parenthesis 5 x minus 1 right parenthesis less than left parenthesis x plus 1 right parenthesis squared less than left parenthesis 7 x minus 3 right parenthesis$ is

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Let A0 A1 A2 A3 A4 A5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments A0A1, A0A2 , and A0A4 is -

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Let L sin  = 10 + log sin . The number of triangles ABC such that log b + 10 = log c + L sin B is-

Let L sin  = 10 + log sin . The number of triangles ABC such that log b + 10 = log c + L sin B is-

parallel

If for a ABC, cot A. cot B. cot C > 0 then the triangle is-

If for a ABC, cot A. cot B. cot C > 0 then the triangle is-

In a triangle PQR as shown in figure given that x : y : z :: 2 : 3 : 6, then the value of QPR is -

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Maths-General

The in-radius of the triangle formed by the axes and the line 4x + 3y – 12 = 0 is -

The in-radius of the triangle formed by the axes and the line 4x + 3y – 12 = 0 is -

parallel

In a  ABC if r1 = 2r2 = 3r3, then -

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If A, A1, A2, A3 be the area of the in-circle and ex-circles, then $fraction numerator 1 over denominator square root of A subscript 1 end subscript end root end fraction plus fraction numerator 1 over denominator square root of A subscript 2 end subscript end root end fraction plus fraction numerator 1 over denominator square root of A subscript 3 end subscript end root end fraction$ is equal to-

If A, A1, A2, A3 be the area of the in-circle and ex-circles, then $fraction numerator 1 over denominator square root of A subscript 1 end subscript end root end fraction plus fraction numerator 1 over denominator square root of A subscript 2 end subscript end root end fraction plus fraction numerator 1 over denominator square root of A subscript 3 end subscript end root end fraction$ is equal to-

parallel

If $fraction numerator r over denominator r subscript 1 end subscript end fraction$ = $fraction numerator r subscript 2 end subscript over denominator r subscript 3 end subscript end fraction$ , then -

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16R2 r r1 r2 r3 =

16R2 r r1 r2 r3 =

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parallel

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