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51.

The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is ____________________(a) (4, 5)(b) (6, 8)(c) (7, 8)(d) (8, 6)I have been asked this question by my school teacher while I was bunking the class.I need to ask this question from Slope of a Line in portion Straight Lines of Mathematics – Class 11

Answer»

Right choice is (c) (7, 8)

The explanation: The coordinates of a point DIVIDING the LINE segment joining (x1, y1) and (x2, Y2) externally in the ratio m: n is \((\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n})\).

So, the coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is \((\frac{2*4-1*1}{2-1},\frac{2*5-1*2}{2-1})\) = (7, 8).
Discussion
52.

If equation of a line is 3x+2y-6=0 then x-intercept is _____ and y-intercept is _____(a) 3, 2(b) 2, 3(c) 2, 6(d) 3, 6I had been asked this question in a national level competition.This intriguing question comes from Distance of a Point from a Line in division Straight Lines of Mathematics – Class 11

Answer» RIGHT choice is (b) 2, 3

The explanation is: Reducing the above EQUATION to INTERCEPT form x/a +y/b =1,

we GET x/2 +y/3 =1

a=2 which is x-intercept and b=3 which is y-intercept.
Discussion
53.

Equation of vertical line to the left of y-axis at 5 units from y-axis is _______(a) x=5(b) x=-5(c) y=5(d) y=-5I got this question in an internship interview.My question is based upon General Equation of a Line topic in division Straight Lines of Mathematics – Class 11

Answer» CORRECT choice is (B) x=-5

The best I can explain: Equation of y-axis is x=0. VERTICAL line is parallel to y-axis and to the left by 5 UNITS so, equation of line is x=-5.
Discussion