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Maths-

General

Easy

Question

$I n blank a blank t r i a n g l e blank A B C comma square root of a plus square root of b minus square root of c blank i s$

always positive
always negative
positive only when c is smallest
None of these

The correct answer is: always positive

Hint: a + b > c
$left parenthesis square root of a plus square root of b right parenthesis to the power of 2 end exponent greater than a plus b greater than c rightwards double arrow square root of a plus square root of b greater than square root of c$
$H e n c e comma blank square root of a plus square root of b greater than square root of c comma blank w h e r e blank a comma b comma c blank a l w a y s blank p o s i t i v e.$

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$I f blank a comma b comma c$ and d are the sides of a quadrilateral, then the value of $fraction numerator a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent over denominator d to the power of 2 end exponent end fraction$ is always greater than

$l n invisible function application a capital delta A B C blank i f blank a to the power of 2 end exponent s i n invisible function application left parenthesis B minus C right parenthesis plus b to the power of 2 end exponent s i n invisible function application left parenthesis C minus A right parenthesis plus c to the power of 2 end exponent s i n invisible function application left parenthesis A minus B right parenthesis equals 0 blank comma blank t h e n text triangle is end text$

$l n invisible function application a capital delta A B C blank i f blank a to the power of 2 end exponent s i n invisible function application left parenthesis B minus C right parenthesis plus b to the power of 2 end exponent s i n invisible function application left parenthesis C minus A right parenthesis plus c to the power of 2 end exponent s i n invisible function application left parenthesis A minus B right parenthesis equals 0 blank comma blank t h e n text triangle is end text$

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are more acidic than water:
Which of the following will react fastest with sodium?

Alcohols are ,acidic in nature because hydrogen is attached to oxygen which is an electronegative element. Alcohol is weaker acid than water because $O H to the power of minus end exponent$ ion is more stable than $R minus O to the power of minus end exponent$ ion $R minus 0 to the power of minus end exponent$ is less stable, due to +I effect of the alkyl group., Acidity of alcohols increases with increase:' in ' the stability of acid anion.

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In meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is

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