If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is : 1. 2 2. 4 3. -2 4. -4

Given, a - 1, a + 3, 3a - 1 are in A.P. ⇒ (a + 3) - (a - 1) = (3a - 1) - (a + 3) ⇒ a - a + 3 - (-1) = 3a - a - 1 - 3 ⇒ 4 = 2a - 4 ⇒ 2a = 8 ⇒ a = = 4. Hence, Option 2 is the correct option.

Mathematics

If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :
2
4
-2
-4

AP GP

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Answer

Given,

a - 1, a + 3, 3a - 1 are in A.P.

⇒ (a + 3) - (a - 1) = (3a - 1) - (a + 3)

⇒ a - a + 3 - (-1) = 3a - a - 1 - 3

⇒ 4 = 2a - 4

⇒ 2a = 8

⇒ a = $\dfrac{8}{2}$ = 4.

Hence, Option 2 is the correct option.

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Mathematics

If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :
2
4
-2
-4

AP GP

Answer

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4
-4
3
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4
-1
1
-4

The point A(4, 2) is reflected in x-axis to point A'. Point A' is further reflected in the line y + 2 = 0 to point A". The co-ordinates of the point A" are :
(-4, -2)
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(4, 2)
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The perimeters of two similar triangles ABC and LMN are 120 cm and 96 cm respectively. If LM = 16 cm, then the length of AB is :
20 cm
16 cm
15 cm
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