You visited us 1 times! Enjoying our articles? Unlock Full Access!

Heat of Reaction

STATEMENT 1: ...

Question

STATEMENT 1: In a $Δ A B C$ , $(1 - \frac{r_{1}}{r_{2}}) (1 - \frac{r_{1}}{r_{3}}) = 2$ then the triangle is right angled.

STATEMENT 2: In a $Δ A B C, r_{1} r_{2} + r_{2} r_{3} + r_{3} r_{1} = 2 r^{2}$

Statement-1 is true, Statement-2 is true, Statement-2 is correct explanation of Statement- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement-1 is true, Statement-2 is true, Statement-2 is notcorrect explanation for Statement-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement-1 is true, Statement-2 is false

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Statement-1 is false, Statement-2 is true

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Statement-1 is true, Statement-2 is false
$(1 - \frac{r_{1}}{r_{2}}) (1 - \frac{r_{1}}{r_{3}}) = 2 (1 - \frac{s - b}{s - a}) (1 - \frac{s - c}{s - a}) = 2 (\frac{s - a - s + b}{s - a}) (\frac{s - a - s + c}{s - a}) = 2 (b - a) (c - a) = 2 (s - a) (s - a)$

Suggest Corrections

Similar questions

- 1 :

0 < x < y \Rightarrow {log}_{a} x > {log}_{a} y

a > 1

- 2 :

a > 1, {log}_{a} x

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

n \geq 2,

\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + . . . + \frac{1}{\sqrt{n}} > \sqrt{n}

\sqrt{n (n + 1)} < n + 1

- 1 :

x^{{log}_{x} (3 - x)^{2}} = 25

x = - 2

- 2 :

a^{{log}_{a} x} = x

a > 0, x > 0

a \neq 1

Join BYJU'S Learning Program