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If a, b, c, d are in G.P., prove that:
(b + c) (b + d) = (c + a) (c + d)
Concept: undefined >> undefined
If a, b, c are in G.P., prove that the following is also in G.P.:
a2, b2, c2
Concept: undefined >> undefined
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State the converse and contrapositive of statement:
If it is hot outside, then you feel thirsty.
Concept: undefined >> undefined
State the converse and contrapositive of statement:
I go to a beach whenever it is a sunny day.
Concept: undefined >> undefined
State the converse and contrapositive of statement:
A positive integer is prime only if it has no divisors other than 1 and itself.
Concept: undefined >> undefined
State the converse and contrapositive of statement:
If you live in Delhi, then you have winter clothes.
Concept: undefined >> undefined
State the converse and contrapositive of statement:
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Concept: undefined >> undefined
If a, b, c are in G.P., prove that the following is also in G.P.:
a3, b3, c3
Concept: undefined >> undefined
Rewrite of the statement in the form "p if and only if q".
p : If you watch television, then your mind is free and if your mind is free, then you watch television.
Concept: undefined >> undefined
Rewrite of the statement in the form "p if and only if q".
q : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
Concept: undefined >> undefined
Rewrite of the statement in the form "p if and only if q".
r : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Concept: undefined >> undefined
If a, b, c are in G.P., prove that the following is also in G.P.:
a2 + b2, ab + bc, b2 + c2
Concept: undefined >> undefined
Rewrite of the statement in the form "p if and only if q".
s : If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.
Concept: undefined >> undefined
If a, b, c, d are in G.P., prove that:
(a2 + b2), (b2 + c2), (c2 + d2) are in G.P.
Concept: undefined >> undefined
If a, b, c, d are in G.P., prove that:
(a2 − b2), (b2 − c2), (c2 − d2) are in G.P.
Concept: undefined >> undefined
If a, b, c, d are in G.P., prove that:
\[\frac{1}{a^2 + b^2}, \frac{1}{b^2 - c^2}, \frac{1}{c^2 + d^2} \text { are in G . P } .\]
Concept: undefined >> undefined
If a, b, c, d are in G.P., prove that:
(a2 + b2 + c2), (ab + bc + cd), (b2 + c2 + d2) are in G.P.
Concept: undefined >> undefined
If (a − b), (b − c), (c − a) are in G.P., then prove that (a + b + c)2 = 3 (ab + bc + ca)
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If Mohan is a poet, then he is poor.
Concept: undefined >> undefined
If a, b, c are in G.P., then prove that:
Concept: undefined >> undefined
