Cartesian System

Q.

if $(a,a^2)$falls inside the angle made by the lines $y$ $=\frac{x}{2},x>0$ and $y=3x,x>0,$ then $\mathrm{a}$ belongs to

1. $(3,\infty )$

2. $(\frac{1}{2},3)$

3. $(-3,\frac{-1}{2})$

4. $(0,\frac{1}{2})$

Q. If x-15=25. Then, state which Euclid's axiom is used.

Q. Which of the following is the coordinate of the mirror image of A(1, 2) in the second quadrant? ​

1. (-1, 2)
2. (1, 2)
3. (1, -2)
4. (-1, -2)

Q.

If the points P , Q, R and S are collinear points and PQ=RS then prove that PR=QS using Euclid’s postulate.

Q. Distance of a point from y-axis is called Ordinate.

1. True
2. False

Q.

3. On a line AB, take four points P, R, Q and S in order such that PR = QS . With the help of this figure State whether PQ=RS. Give reasons in support of your answer.

Q.

Consider the following three statements.

Statement-1 : The x-coordinate is called ordinate.

Statement-2 : The y-coordinate is called abscissa.

Statement-3 : To express the coordinates of a point in the cartesian plane, the abscissa comes first and then the ordinate comes.

Which of the following is true?

1. Statements 1 and 2 are true and statement 3 is false.

2. Statements 1 and 2 are false and statement 3 is true.

3. Statements 2 and 3 are true and statement 1 is false.

4. All three statements are true.

Q. Find the coordinate of the mirror image of A(1, 2) in the second quadrant.

Q.

What is linear pair axiom

2

Q.

What is the perpendicular distance of the point Q (5, 7) from the y-axis?

1. 5 units

2. 7 units

3. 2 units

4. 12 units

Q.

What is the perpendicular distance of the point Q (5, 7) from the y-axis?

1. 5 units

2. 7 units

3. 2 units

4. 12 units

Q.

Find the equation of x-axis.

1. y=0

2. y=4

3. x=0

4. x=-3

Q. The mirror image of point P(2, 3) taken about the origin is point P'. Find the quadrant which P' lies in

1. Quadrant 1
2. Quadrant 2
3. Quadrant 3
4. Quadrant 4

Q. Match the following.

1. x = +ve, y = +ve
2. x = -ve, y = +ve
3. x = +ve, y = -ve
4. x = -ve, y = -ve

Q. The abscissa of a point is positive in ____.

1. I and IV quadrants
2. I quadrant only
3. I and II quadrants
4. IV quadrant only

Q. The mirror image of point P(2, 3) taken about the origin is point P'. Find the quadrant which P' lies in

1. Quadrant 1
2. Quadrant 2
3. Quadrant 3
4. Quadrant 4