MCQ
If x < 7, then:
- A$-\text{x}<-7$
- B$-\text{x}\leq-7$
- C$-\text{x}>-7$
- D$-\text{x}\geq-7$
Solution:
x < 7
subtracting x on both sides, we get
⇒ x − x < 7 − x
⇒ 0 < 7 − x
subtracting 7 on both sides, we get
⇒ 0 − 7 < 7 − x − 7
⇒ −7 < − x
⇒ − x > −7
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The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is
The distance between A (-6, 7) and B (-1, -5) is:
The equations of the lines passing through the point (1, 0) and at a distance $\frac{\sqrt{3}}{2}$ from the origin, are
$\sqrt{3}\text{x}+\text{y}-\sqrt{3}=0,\sqrt{3}\text{x}-\text{y}-\sqrt{3}=0$
$\sqrt{3}\text{x}+\text{y}+\sqrt{3}=0,\sqrt{3}\text{x}-\text{y}+\sqrt{3}=0$
$\text{x}+\sqrt{3}\text{y}-\sqrt{3}=0,\text{x}-\sqrt{3}\text{y}-\sqrt{3}=0$
None of these.