Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 3 - Properties and Solutions of Triangles>Objective Questions>Q 38

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In a $Δ A B C$ , the point $D$ divides $B C$ in the ratio $1 : 2$ . Also, $A D$ is perpendicular to $A B .$ Then the value of the expression $\tan B (1 + 2 \tan A \tan C) - 2 \tan C$ is

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Important Questions on Properties and Solutions of Triangles

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JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 3 - Properties and Solutions of Triangles>Objective Questions>Q 39

If

\sin A

and

\sin B

of a triangle

A B C

satisfy

c^{2} x^{2} - c (a + b) x + a b = 0,

then the triangle is:

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JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 3 - Properties and Solutions of Triangles>Objective Questions>Q 40

With usual notations, consider a

Δ A B C

, with given

∠ A

and side

a

. If

b c = x^{2}

, then such a triangle would exist, if (

x

is a given positive real number)