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Maths-

General

Easy

Question

The perimeter of a $straight triangle$ is 6 times the A.M of the sines of its angles if the side $text 'a' end text$ is , then the angle A is

$\frac{π}{6}$
$\frac{π}{3}$
$\frac{π}{2}$
$π$

The correct answer is: $pi over 6$

Related Questions to study

If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side

If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side

The angles of a triangle are in the ratio 3:5:10.Then ratio of smallest to greatest side is

The angles of a triangle are in the ratio 3:5:10.Then ratio of smallest to greatest side is

$text If end text f left parenthesis 9 right parenthesis equals 9 comma f to the power of apostrophe left parenthesis 9 right parenthesis equals 4 comma text then end text fraction numerator L t over denominator x not stretchy rightwards arrow t end fraction fraction numerator square root of f left parenthesis x right parenthesis end root minus 3 over denominator square root of x minus 3 end fraction text equals end text$

$text If end text f left parenthesis 9 right parenthesis equals 9 comma f to the power of apostrophe left parenthesis 9 right parenthesis equals 4 comma text then end text fraction numerator L t over denominator x not stretchy rightwards arrow t end fraction fraction numerator square root of f left parenthesis x right parenthesis end root minus 3 over denominator square root of x minus 3 end fraction text equals end text$

parallel

The sides of a triangle are $sin invisible function application alpha comma cos invisible function application alpha text and end text square root of 1 plus sin invisible function application alpha cos invisible function application alpha end root text for some end text 0 less than alpha less than pi over 2$ Then the greatest angle of the triangle is [AIEEE 2014]

The sides of a triangle are $sin invisible function application alpha comma cos invisible function application alpha text and end text square root of 1 plus sin invisible function application alpha cos invisible function application alpha end root text for some end text 0 less than alpha less than pi over 2$ Then the greatest angle of the triangle is [AIEEE 2014]

$L t subscript x not stretchy rightwards arrow negative straight infinity end subscript open square brackets fraction numerator x to the power of 4 sin invisible function application open parentheses 1 over x close parentheses plus x squared over denominator open parentheses 1 plus vertical line x vertical line cubed close parentheses end fraction close square brackets equals$

$L t subscript x not stretchy rightwards arrow negative straight infinity end subscript open square brackets fraction numerator x to the power of 4 sin invisible function application open parentheses 1 over x close parentheses plus x squared over denominator open parentheses 1 plus vertical line x vertical line cubed close parentheses end fraction close square brackets equals$

If the sides of a triangle are in the ratio $x colon y colon square root of x squared plus x y plus y squared end root$ then greatest angle is

If the sides of a triangle are in the ratio $x colon y colon square root of x squared plus x y plus y squared end root$ then greatest angle is

parallel

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open square brackets fraction numerator a to the power of 1 over x end exponent plus b to the power of 1 over x end exponent plus c to the power of 1 over x end exponent over denominator 3 end fraction close square brackets to the power of x$ where are real and non-zero=

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open square brackets fraction numerator a to the power of 1 over x end exponent plus b to the power of 1 over x end exponent plus c to the power of 1 over x end exponent over denominator 3 end fraction close square brackets to the power of x$ where are real and non-zero=

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript open parentheses fraction numerator x squared plus 5 x plus 3 over denominator x squared plus x plus 2 end fraction close parentheses to the power of x equals$

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript open parentheses fraction numerator x squared plus 5 x plus 3 over denominator x squared plus x plus 2 end fraction close parentheses to the power of x equals$

In $straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals$

In $straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals$

parallel

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses fraction numerator x plus 6 over denominator x plus 1 end fraction close parentheses to the power of x plus 4 end exponent equals$

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses fraction numerator x plus 6 over denominator x plus 1 end fraction close parentheses to the power of x plus 4 end exponent equals$

If tan $A plus tan invisible function application B plus tan invisible function application C equals 3 square root of 3$ then the $straight capital delta to the power of k$ is

If tan $A plus tan invisible function application B plus tan invisible function application C equals 3 square root of 3$ then the $straight capital delta to the power of k$ is

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript open parentheses fraction numerator x plus 5 over denominator x plus 2 end fraction close parentheses to the power of x plus 3 end exponent equals$

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript open parentheses fraction numerator x plus 5 over denominator x plus 2 end fraction close parentheses to the power of x plus 3 end exponent equals$

parallel

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses fraction numerator x plus a over denominator x plus b end fraction close parentheses to the power of x plus b end exponent equals$

$Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses fraction numerator x plus a over denominator x plus b end fraction close parentheses to the power of x plus b end exponent equals$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e to the power of s in space x end exponent over denominator 2 left parenthesis x minus sin space x right parenthesis end fraction equals$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e to the power of s in space x end exponent over denominator 2 left parenthesis x minus sin space x right parenthesis end fraction equals$

If the sides of triangles are then radius of the Circumcentre is

If the sides of triangles are then radius of the Circumcentre is

parallel

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