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Check whether the following compound sta...

Check whether the following compound statements are true or false ?
(i) the area of a right -angled triangle and an equilateral triangle is `(1)/(2)xxbasexxheight`.
(ii) 30 is a multiple of 6 and 15.

Text Solution

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(i) component statements are :
p: the area of a right -angled triangle is `(1)/(2)xx"base"xx"height"`. q: the area of an equilateral trigle is `(1)/(2)xx"base"xx"height"`. Here p and q are true. `rArr` component statement is true.
(ii) component statements are:
p : 30 is a multiple of 6. q : 30 is a multiple of 15 . here both p and q are true. `rArr` the compound statement is true.
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