Coordinate Geometry

Coordinate Geometry

LASKHYA SATYA SIR

Multiple Choice

The slopes of parallel lines are...

• the same

• opposite

• always different

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals

• opposites

• identical

• nothing

Multiple Choice

Line 1: $$\left(-1,\ 2\right),\ \left(2,\ 3\right)$$   Line 2:  $$\left(0,\ 0\right),\ \left(3,\ 1\right)$$   These two lines are ______________________

• Parallel

• Perendicular

• Neither

Multiple Choice

y = ^{- 2}/₃x + 2 y = ³/₂x + 9 These lines are...

• Parallel

• Perpendicular

• Neither

Multiple Choice

Which line is perpendicular to y = 2x - 7  ?

• y = -2x + 8

• y = ¹/₂x - 7 

• y = ^-1/₂x + 2

• y = 2x - 3 

Multiple Choice

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14)

• (-1, 13)

• (13, 1)

• (13, -1)

• (5, 13)

Multiple Choice

Find the distance between (1, 3) and (5, 6)

• 3

• 4

• 5

• 6

Multiple Choice

Find the distance between J(4,3) and K(2, -3)?

• √ ̅3̅2̅

• 40

• 32

• √ ̅4̅0̅

Multiple Choice

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2

• (x + h)^2 +  (y + h)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x - h)^2 - (h - k)^2 = r

Multiple Choice

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - ^7)^2 + y^2 = 9

• x^2 + (y -7)^2 = 9

• (x - 7)^2 + y^2 = 3

• x^2 + (y -7)^2 = 3

Multiple Choice

Find the center of a circle if the endpoints of the diameter are at (-12, -7) and (3, 5).

• (-4.5, -1)

• (-7.5, -6)

• (4.5, 1)

• (7.5, 6)

Multiple Choice

A straight line joins the points A (-2, -3) and C (1, 9).

Find the co-ordinates of the midpoint of AC.

• (-0.5, -3)

• (-0.5, 3)

• (0.5, 3)

Multiple Choice

The ratio in which the line segment joining  $$P\left(x_{1,}y_1\right)$$  and  $$Q\left(x_{2,}y_2\right)$$  is divided by x-axis is.......

• $$y_1\ :\ y_2$$  

• $$-y_1\ :\ y_2$$  

• $$x_1\ :\ x_2$$  

• $$-x_1\ :\ x_2$$  

Multiple Choice

If the points A(x,2) , B(-3,4) and C(7,-5) are collinear then find value of x

• -63

• -62

• -61

• -60

Multiple Choice

Do the points (3,2), (2,3), (-2,-3) form a triangle?

• YES

• NO

Multiple Choice

The distance of a point from the y-axis is called its x-coordinate, or abscissa

• TRUE

• FALSE

Multiple Choice

Name the type of quadrilateral formed by the points (-1,-2), (1,0), (-1,2) and (-3,0)

• General Quadrilateral

• Square

• Rectangle

• Rhombus

Multiple Choice

If A (5,3), B(11,-5) and P(12,y) are the vertices of a right triangle right angled at P, they y=?

• -2,4

• -2,-4

• 2,-4

• 2,4

Multiple Choice

The set of points which are at a constant distance of r units from a fixed point O is called a circle with centre O and radius=r units. State whether the given statement is true or false

• TRUE

• FALSE

Multiple Choice

The midpoint of the lines segment AB is P(0,4). If the coordinates of B are (-2,3), then the coordinates of A are

• (2,5)

• (-2,-5)

• (2,9)

• (-2,11)

Multiple Choice

If the distance between the points (4,p) and (1,0) is 5 then the value of p is

• 4 only

• $$\pm4$$

• -4

• 0

Multiple Choice

Ordinate is positive and abscissa is negative then the point belongs to ................. quadrant.

• I

• II

• III

• IV

Multiple Select

If point P(x,y) is equidistant from poin Q(-2,5) and R(6,-1) then find the relation between x and y.

• 4x-3y=2

• x-3y=2

• 4x+3y=-2

• -4x+3y=-2