Find the 60th term of the AP 8, 10,12, ..., if it has a total of 60 terms and hence find the sum of its last 10 terms.
Construct a ΔABC in which AB = 6 cm, ∠A = 30o and ∠B = 60o. Construct another ΔAB'C' similar to ΔABC with base AB' = 8 cm
Total number of cards = 52
(i) Number of cards that are spades or aces = 13 + 3 = 16
Probability that the card drawn is a card of spade or an ace
=
(ii) Number of black kings = 2
Probability that the card drawn is a black king
=
(iii) Number of cards that are neither jacks nor kings = 52 - 8 = 44
Probability that the card drawn is neither a jack nor a king
=
(iv) Number of cards that are kings or queens = 4 + 4 = 8
Probability that the card drawn is either a king or queen
=
Find the values of k so that the area of the triangle with vertices (1,-1), (-4, 2k) and (-k, 5) is 24 sq. units