function and relation, Mathematics

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how to know if it is function and if is relation

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Find out the next number in the subsequent pattern. 320, 160, 80, 40, . . . Each number is divided by 2 to find out the next number; 40 ÷ 2 = 20. Twenty is the next number.

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If 1/x+2, if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5...

if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 =>  1/x 2 +5x+6  = 2/ x 2 +8x +15 =>  On solving we get x

Show that a, If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are ...

If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans:    Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ

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State the following statement as a disjunction (in DNF) as well using quantifiers:      There does not exit a woman who has taken a flight on each airline in the world.

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