AP AND COORDINATE GEOMETRY

A (Assertion): -5, -2.5 , 0 , 2.5 …. is in Arithmetic Progression.

R (Reason) : The terms of an Arithmetic Progression cannot have both positive and negative rational numbers.

• (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

• Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

• Assertion (A) is true but reason (R) is false.

• Assertion (A) is false but reason (R) is true.

If p – 1, p + 3, 3p – 1 are in AP, then p is equal to ________.

• 3

• 4

• 2

• none of these

The mid-point of the line segment joining the points A (–2, 8) and B (– 6, – 4) is

• (– 4, – 6)

• (2, 6)

• (– 4, 2)

• (4, 2)

A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

• (0, – 5) and (2, 0)

• (0, 10) and (– 4, 0)

• (0, 4) and (– 10, 0)

• (0, – 10) and (4, 0)

The fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B (6, 7) and C (8, 3) is

• (0, 1)

• (0, –1)

• (–1, 0)

• (1, 0)

A point (x,y) is at a distance of 5 units from the origin. How many such points lie in the third quadrant?

• 0

• 1

• 2

• infinitely many

The distance of the point P (2,3) from the x- axis is:

• 2 cm

• 4 cm

• 3 cm

• 5 cm

If common difference of an A.P is 7 then find the value of a₂₅ - a₂₁ is.

• 14

• 26

• 20

• 28

The distance of the point (-6,8) from the origin is:

• 8

• 10

• 6

• 9

The7th term of the A.P. 7,11,15,…107 is.

• 31

• 41

• 46

• 49