Solve both equations I & II and form a new equation III in variable ‘r’ (reduce to lowest possible factor) using roots of equation I and II as per instructions given below.
I. 4 - (22/p) + (18/P2) = 0
II. (q-4)2Â = (16/9)
If roots of equation III are highest root of equation I and lowest root of equation II, then which of the following will be equation III.
(a) 6r2- 68r + 72 = 0
(b) 6r2- 20r + 36 = 0
(c) 6r2- 33r + 62 = 0
(d) 6r2- 43r + 72= 0
(e) None of these
ATQ, From I. 4- (22/p)+(18/p)2 = 0  4p2-22p+18=0  4p2-4p-18p+18=0  4p(p-1)-18(p-1)=0  (4p-18) (p-1)=0  p=1,9/2 From II. (q-4)2=16/9  q-4 = ± 4/3  q=16/3, 8/3 New eq. = r^2-ar+b=0 a = sum of root, b= product of root So, highest root of equation I and lowest root of equation II is (9/2) and (8/3) respectively. Required equation = r2- (43/6)r + 12 = 0  6r2- 43r + 72 = 0Â
Fill in the blank with appropriate article. I couldn't believe my eyes when I saw ____________ elephant crossing the road in front of my school yesterday.
Fill in the blanks using the correct tense of the verbs given in brackets.
The earth _____(move) round the sun.Â
Recent history casts a remarkably sobering light on how much politicians can count on __________ arguments to hold sway over popular sentiment.
She would ________ the thought of writing a 40-page research paper.
I could make out that the conversation was leading to a fight so I ______ .Â
The government has enacted legislation to __________ a fine and three-year imprisonment for all references that imply the _________ of the Polish nation...
Select the most appropriate option to fill in the blank.
The government should take steps to ______ pollution.
The Chairman and the Managing Director Mr Prabhakar attributed the almost flat performance to higher deposit costs, slower credit off take and stressed ...
His appointment caused disquiet __________ members.
Fill in the blanks with appropriate words from the alternatives given below each sentence.
The students refused _____ the hostel.Â
