If p then q means .......... implies .......... - Vidyadip

MCQ

If $p$ then $q$ means $..........$ implies $..........$

A
$q \Rightarrow p$
✓
$\sim q \Rightarrow \sim p$
C
$\sim p \Rightarrow \sim q$
D
$p \Rightarrow \sim q$

✓

Answer

Correct option: B.

$\sim q \Rightarrow \sim p$

If $p$ then $q$ means $p \Rightarrow q$ or negation of $q$ implies negation of $p$
i.e. $\sim q \Rightarrow \sim p.$

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Let the straight line $y=2 x$ touch a circle with center $(0, \alpha), \alpha>0$, and radius $r$ at a point $A_1$. Let $B_1$ be the point on the circle such that the line segment $A_1 B_1$ is a diameter of the circle. Let $\alpha+r=5+\sqrt{5}$.

Match each entry in $List-I$ to the correct entry in $List-II$.

$List-I$	$List-II$
($P$) $\alpha$ equals	($1$) $(-2,4)$
($Q$) $r$ equals	($2$) $\sqrt{5}$
($R$) $A_1$ equals	($3$) $(-2,6)$
($S$) $B_1$ equals	($4$) $5$
	($5$) $(2,4)$

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