Math Class 12 New Book Chapter 6 MCQs Federal Board
Math Class 12 New Book Chapter 6 MCQs Federal Board
(i)
The linear p, q and s are:
a) parallel
b) concurrent
c) perpendicular
d) collinear
Correct option is (b)
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(ii)
If the determinant of coefficients the three lines is 0, then the lines are:
a) concurrent
b) intersecting
c) parallel
d) perpendicular
Correct option is (a)
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(iii)
Which of the following equation is homogeneous?
$$a)\;x^2+5y=0\\b)\;2x+3y+1=0\\c)\;x^2+5xy=0\\d)\;4y+8=0$$
Correct option is (c)
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(iv)
Which of the following equation is not homogeneous?
a) $$a)\;x^2+3xy=0\\b)\;2x-3y=0\\c)\;xy^2+y^3=0\\d)\;5x-5=0$$
Correct option is (d)
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(v)
Equation ax + by + c=0 passes through origin if:
a) a = 0
b) c = 0
c) b = 0
d) a = b = c = 0
Correct option is (b)
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(vi)
The lines represented by
$$ax^2+2hxy+by^2=0$$ are real and distinct if:
$$a)\;h^2>ab\\b)\;h^2=ab\\c)\;h^2<ab\\d)\;h^2\leq ab$$
Correct option is (a)
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(vii)
The lines represented by
$$ax^2+2hxy+by^2=0$$ are coincident if:
$$a)\;h^2>ab\\b)\;h^2=ab\\c)\;h^2<ab\\d)\;h^2\leq ab$$
Correct option is (b)
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(viii)
The lines represented by
$$ax^2+2hxy+by^2=0$$ are imaginary if:
$$a)\;h^2>ab\\b)\;h^2=ab\\c)\;h^2<ab\\d)\;h^2\geq ab$$
Correct option is (c)
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(ix)
The lines represented by
$$ax^2+2hxy+by^2=0$$ are perpendicular if:
a) a – b = 0
b) b – a = 0
c) a + b = 1
d) a + b = 0
Correct option is (d)
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(x)
Half the determinant of vertices of triangle gives its:
a) perimeter
b) area
c) volume
d) both (a) and (b)
Correct option is (b)
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(xi)
If the determinant of three points is zero then the point are:
a) collinear
b) non-collinear
c) imaginary
d) concurrent
Correct option is (a)
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(xii)
The point of intersection of three angle bisectors of a triangle is called:
a) incenter
b) circumcenter
c) centroid
d) orthocenter
Correct option is (a)
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(xiii)
The point of intersection of right bisectors of a triangle is called:
a) incenter
b) circumcenter
c) centroid
d) orthocenter
Correct option is (b)
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(xiv)
The point of intersection of three medians of a triangle is called:
a) incenter
b) circumcenter
c) centroid
d) orthocenter
Correct option is (c)
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(xv)
The point of intersection of three altitudes of a triangle is called:
a) incenter
b) circumcenter
c) centroid
d) orthocenter
Correct option is (d)
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(xvi)
Which of the following is perpendicular to
$$y\;=\;-\frac12x?$$
a) y = 2x
b) y = -2x
c) 2y = x
d) 2y = -x
Correct option is (a)
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