For what value of ‘k’ the points A(1, 5), B(k, 1)andC(4, 11)

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 Multiple Choice QuestionsShort Answer Type

341.

A point on x-axis which is equidistant from the points (5, 4) and (- 2, 3) is

(a) (2,0)    (b) (3,0)    (c) (6, 0)    (d) (7, 0)

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342.

The value of ‘k’ so that the points (7, - 2), (5, 1) and (3, k) are collinear :

(a) 3    (b) 4    (c) 5    (d) 6

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343.

For what value of ‘k’ the points A(1, 5), B(k, 1)andC(4, 11) are collinear?

(a) k = 1    (b) k = 2    (c) k = - 1    (d) k = - 2


Area space of space increment space equals 1 half left square bracket straight x subscript 1 left parenthesis straight y subscript 2 minus straight y subscript 3 right parenthesis plus straight x subscript 2 left parenthesis straight y subscript 3 minus straight y subscript 1 right parenthesis plus straight x subscript 3 left parenthesis straight y subscript 1 minus straight y subscript 2 right parenthesis right square bracket equals 0
Put space colon space straight x subscript 1 equals 1 comma space straight y subscript 1 equals 5 comma space straight x subscript 2 equals straight k comma space straight y subscript 2 equals 1 comma space straight x subscript 3 equals 4 comma space straight y subscript 4 equals 11 space
Ans. space left parenthesis straight c right parenthesis
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344. For what values of n, the nth terms of two A.P’s in each case are the same ? (i) 1, 7, 13, 19, (ii) 64, 63, 62, 61........
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345. Determine the A .P. whose third term is 16 and the difference of 5th term from 7th term is 12.
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346. How many numbers of two digits are divisible by 7?
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347. The first term of an A .P. is 5 and its 100th term is -292. Find the 50th term of this A .P.
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348. Find k, if the given value of n is the kth term of the given A .P.

left parenthesis straight i right parenthesis space 1 comma space 2 over 11 comma space 31 over 11 comma space 41 over 11 comma space comma comma comma comma comma semicolon space straight n equals 171 over 11
left parenthesis ii right parenthesis space 25 comma space 50 comma space 75 comma space 100 comma space..... comma space straight n space equals space 1000.
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349. Which term of the A .P. 3, 10, 17.........will be 84 more than its 13th term.
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350. The fifth term of an A .P. is thrice the second term and the twelfth term exceeds twice the 6th term by 1. Find the 16th term.
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