arjtryarjtry wrote:

In the xy-plane, line L passes through point (2,2). If the product of the x-intercept and y-intercept is negative, which of the following cannot be a point of L?

I. (-10, 1)

II. (10,5)

III. (10, -2)

(A) Only I

(B) Only II

(C) Only III

(D) I and II

(E) I and III

heres another one

If 60 students took a test and the median score was 80, which of the following must be true?

I. At least 29 scores are greater than 80.

II. At least 30 scores are equal to or greater than 80.

III. At most 30 scores are equal to or less than 80.

(A) I only

(B) II only

(C) III only

(D) I and II

(E) I and III

First one its C => explanation :

consider y=mx+c =>Xin = -c/m ,Yin= c => product of two,say,p= -c^2/m => p is -ve => m=+ve

also 2,2 lies on the line y=mx+c => 2=2m+c =>m=c-2 / 2 =>

p=-((2 *c^2)/(c-2))=-ve => c-2 >0 => c>2

now consider I,II and III substitute these values in y=mx+c ,for III

-2=10m+c => c= -2-10m since m>0 c here is -ve which is not possible hence it cannot be a point on the given line

IMO C

Second question B is answer

II says :

At least 30 scores are equal to or greater than 80.

which means automatically median is 80

_________________

cheers

Its Now Or Never