Mathematics MCQS for class 12 with Answers Chapter 4

For all values of a and b the line (a + b)x + (a – b)y = 2a + 3b passes through the fixed point

None of these

No such point

(5/2 , 1/2)

(5/2 , -1/2)

If A,B,C are three points such that slope of AB = slope of AC then:

Points are vertices of equilateral trianlge

Points are collinear

Points are vertices of right traingle

None of these

The distance of a point P(-3,-5) from y-axis is:

-3

5

3

-5

In a plane two mutually perpendicular lines are called:

Radii

Medians

Altitudes

Coordinate axes

The angle between the lines x/?3+y = 1 and x/?3 -y  = 1 is:

45°

60°

90°

30°

If distance of a point P(x,y) from x-axis is 3 then:

y=3

x=y

x=3

2x=y

The two lines a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ intersect each other if:

a₁a₂ +b₁b₂ = 0

a₁b₂-b₁a₂ = 0

a₁b₁ -n₁a₂ ? 0

a₁b₂ +b₁a₂ = 0

If distance of a point P(x,y) from origin is 7 then:

y=7

x=7

?x²+y² =7

x+y=7

The popint A(x₁,y_{1^{) is above the line ax+by +c=0, b > 0}}

ax₁ +by₁ +c > 0

ax₁ -by₁ +c > 0

ax₁ – by₁+ c < 0

ac₁+ by₁+ c < 0

Intercept form of equation of a straight line:

x-y=ab

x/a – y/b =1

x+y=ab

x/a + y/b =1