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Maths-

General

Easy

Question

If I, I1, I2 and I3 be respectively the centres of the in-circle and the three escribed circles of a triangle ABC, then I2 I3 =

a sin
a cosec
a cos
a tan

The correct answer is: a cosec

Related Questions to study

If 1, 2, 3 are respectively the perpendicular from the vertices of a triangle on the opposite side, then 1 2 3 =

If 1, 2, 3 are respectively the perpendicular from the vertices of a triangle on the opposite side, then 1 2 3 =

In a ABC, r r1 r2 r3 =

In a ABC, r r1 r2 r3 =

If r1, r2, r3 in a triangle be in H.P. then the sides are in -

If r1, r2, r3 in a triangle be in H.P. then the sides are in -

parallel

$open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 1 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 2 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 3 end subscript end fraction close parentheses$ =

$open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 1 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 2 end subscript end fraction close parentheses open parentheses fraction numerator 1 over denominator r end fraction minus fraction numerator 1 over denominator r subscript 3 end subscript end fraction close parentheses$ =

In an equilateral triangle, the in-radius, circum-radius and one of the ex- radii are in the ratio-

In an equilateral triangle, the in-radius, circum-radius and one of the ex- radii are in the ratio-

If r1 = r2 + r3 + r, then the  is -

If r1 = r2 + r3 + r, then the  is -

parallel

(r1 + r2) (r2 + r3) (r3 + r1) =

(r1 + r2) (r2 + r3) (r3 + r1) =

r2 r3 + r3 r1 + r1 r2 =

r2 r3 + r3 r1 + r1 r2 =

If the sides be a, b, c then $fraction numerator r subscript 1 end subscript minus r over denominator a end fraction plus fraction numerator r subscript 2 end subscript minus r over denominator b end fraction$ =

If the sides be a, b, c then $fraction numerator r subscript 1 end subscript minus r over denominator a end fraction plus fraction numerator r subscript 2 end subscript minus r over denominator b end fraction$ =

parallel

In any ABC, cosA + cosB + cosC =

In any ABC, cosA + cosB + cosC =

In any ABC, sinA + sinB + sinC =

In any ABC, sinA + sinB + sinC =

The length of a rubber cord is $l subscript 1 blank end subscript$ metre when the tension is 4 N and $l subscript 2 blank end subscript$ metre when the tension is 6N. The length when the tension is 9 N, is

The length of a rubber cord is $l subscript 1 blank end subscript$ metre when the tension is 4 N and $l subscript 2 blank end subscript$ metre when the tension is 6N. The length when the tension is 9 N, is

Physics-General

parallel

Coefficient of isothermal elasticity $E subscript theta end subscript$ and coefficient of adiabatic elasticity $E subscript ϕ end subscript$ are related by $left parenthesis gamma equals C subscript p end subscript divided by C subscript v end subscript right parenthesis$

Coefficient of isothermal elasticity $E subscript theta end subscript$ and coefficient of adiabatic elasticity $E subscript ϕ end subscript$ are related by $left parenthesis gamma equals C subscript p end subscript divided by C subscript v end subscript right parenthesis$

Physics-General

A wire of diameter $1 m m$ breaks under a tension of $1000 blank N$ . Another wire, of same material as that of the first one, but of diameter $2 blank m m$ breaks under a tension of

A wire of diameter $1 m m$ breaks under a tension of $1000 blank N$ . Another wire, of same material as that of the first one, but of diameter $2 blank m m$ breaks under a tension of

Physics-General

If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is

If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is

Physics-General

parallel

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