Please select a subject first
Advertisements
Advertisements
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
Advertisements
If a, b, c are in G.P., then prove that:
Concept: undefined >> undefined
Determine the contrapositive of the statement:
Only if Max studies will he pass the test.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If she works, she will earn money.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If it snows, then they do not drive the car.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
It never rains when it is cold.
Concept: undefined >> undefined
If the 4th, 10th and 16th terms of a G.P. are x, y and z respectively. Prove that x, y, z are in G.P.
Concept: undefined >> undefined
If a, b, c are in A.P. and a, b, d are in G.P., then prove that a, a − b, d − c are in G.P.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If Ravish skis, then it snowed.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If x is less than zero, then x is not positive.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If he has courage he will win.
Concept: undefined >> undefined
If pth, qth, rth and sth terms of an A.P. be in G.P., then prove that p − q, q − r, r − s are in G.P.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
It is necessary to be strong in order to be a sailor.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
Only if he does not tire will he win.
Concept: undefined >> undefined
Determine the contrapositive of the statement:
If x is an integer and x2 is odd, then x is odd.
Concept: undefined >> undefined
If \[\frac{1}{a + b}, \frac{1}{2b}, \frac{1}{b + c}\] are three consecutive terms of an A.P., prove that a, b, c are the three consecutive terms of a G.P.
Concept: undefined >> undefined
If xa = xb/2 zb/2 = zc, then prove that \[\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\] are in A.P.
Concept: undefined >> undefined
If a, b, c are in A.P., b,c,d are in G.P. and \[\frac{1}{c}, \frac{1}{d}, \frac{1}{e}\] are in A.P., prove that a, c,e are in G.P.
Concept: undefined >> undefined
If a, b, c are in A.P. and a, x, b and b, y, c are in G.P., show that x2, b2, y2 are in A.P.
Concept: undefined >> undefined
