Q2 of 23 Page 1

Attempt any four of the following subquestions:

Find the value of k for which the given simultaneous equations have infinitely many solutions:


Kx + 4y = 10;


3x + 2y = 5.

For infinite solutions in simultaneous equations of form:

a1x + b1y + c1 = 0 and


a2x + b2y + c2 = 0,



From the question, we get



Taking the first terms, we get,



⇒ 2k = 3×4


⇒ 2k = 12


⇒ k = 6


More from this chapter

All 23 →
2

Attempt any four of the following subquestions:

For a certain frequency distribution, the values of Assumed mean (A) = 1300, Σƒ1d1 = 900 and Σƒ1 = 100. Find the value of mean (x).

 2

Attempt any four of the following subquestions:

Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A using set notation and n(A), where ‘A is the event of getting at least one head.’

 3

Attempt any three of the following sub questions:

How many three digit natural numbers are divisible by 5?

 3

Attempt any three of the following sub questions:

Solve the following quadratic equation by factorization method:


3x2 - 29x + 40 = 0.