Question # 1

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

w⁴= ______

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0

1

w

w²

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

Which of the following is the subset of all sets?

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The distance of the point (1.1) from the origin is

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0

2

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

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