Mathematics MCQs Chapter 4 Class 12

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Created on January 25, 2022 By Ali Durrani

Math Ch 4 Class 12 Introduction to Analytic Geometry

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A four sided polygon (quadrilateral) having two parallel and non-parallel sides is called

Square

rhombus

trapezium

||gram

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If the equations of the sides of a triangle are given then the intersection of any two lines in
pairs gives ________ the triangles.

Vertices

centre

mid-points of sides

centriod

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If three lines pass through one common point then the lines are called

Parallel

coincident

concurrent

congruent

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The Normal form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

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The two intercepts form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

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The slope-intercept form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

9 / 42

If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a

Kite

rhombus

||gram

trapezoid

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A line bisecting 2nd and 4th quadrants has inclination:

0°

45°

135°

∞

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The point where the angle bisectors of a triangle intersect is called_________ of the triangle.

Centroid

in centre (

orthocenter

circumference

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The centroid of a triangle divides each median in the ration of

2:1

1:2

1:1

None of these

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The point where the altitudes of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

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The point where the medians of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

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The straight line which passes through one vertex and perpendicular to opposite side is
called:

Median

altitude

perpendicular bisector

normal

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The straight line which passes through one vertex and though the mid-point of the opposite
side is called:

Median

altitude

perpendicular bisector

normal

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The point P in the plane that corresponds to the ordered pair (?, ?) is called:

????ℎ ?? (?, ?)

mid-point of ?, ?

???????? ?? ?, ?

ordinate of ?,

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Line passes through the point of intersection of two line ?? and ?? is

?1?1 = ?2?2

?1 + ??2 = 0

?1 + ??2 = 1

None

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. Altitudes of a triangle are:

Parallel

Perpendicular

Concurrent

Non Concurrent

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The point-slope form of the equation of straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

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The lines lying in the same plane are called

Collinear

coplanar

non-collinear

non-coplanar

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Every homogeneous equation of 2nd degree in two variables represents

A line

two lines

two line through origin

family of lines

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In the normal form, ????? + ????? = ? the value of ? is

Positive

Negative

positive or negative

Zero

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If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a

Kite

rhombus

||gram

trapezoid

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? = ? is the straight line

Bisecting I & III

parallel to ? − ????

bisecting II & IV

parallel to ? − ????

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A line bisecting 2nd and 4th quadrants has inclination:

0°

45°

135°

∞

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If ? and ? have opposite signs then the point ?(?, ?) lies the quadrants

I & II

I & III

II & IV

I & IV

34 / 42

The point where the angle bisectors of a triangle intersect is called_________ of the triangle.

Centroid

in centre

orthocenter

circumference

35 / 42

The centroid of a triangle divides each median in the ration of

2:1

1:2

1:1

None of these

36 / 42

The point where the altitudes of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

37 / 42

The point where the medians of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

38 / 42

The straight line which passes through one vertex and perpendicular to opposite side is
called:

Median

altitude

perpendicular bisector

normal

39 / 42

The straight line which passes through one vertex and though the mid-point of the opposite
side is called:

Median

altitude

perpendicular bisector

normal

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If ? 0 then the point ?(−?, −?) lies in the quadrant

III

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The point P in the plane that corresponds to the ordered pair (?, ?) is called:

????ℎ ?? (?, ?)

mid-point of ?, ?

???????? ?? ?, ?

ordinate of ?, y

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?? ? < 0, ? < 0 then the point ?(?, ?) lies in the quadrant

III

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