MCQ
The distance between the points $A(0, 6)$ and $B(0, -2)$ is:
- A$6$
- ✓$8$
- C$4$
- D$2$
✓
Answer
Correct option: B.
$8$
V distance between the points $\left( x _1, y _1\right)$ and $\left( x _2, y _2\right)$,
$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$
Here, $x_1=0, y_1=6$ and $x_2=0, y_2=-2$
Distance between $A(0, 6)$ and $B(0, -2),$
$\text{AB}=\sqrt{(0-0)^2+(-2-6)^2}$
$\text{AB}=\sqrt{0+(-8)^2}$
$\text{AB}=\sqrt{8^2}$
$\text{AB}=8$
$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$
Here, $x_1=0, y_1=6$ and $x_2=0, y_2=-2$
Distance between $A(0, 6)$ and $B(0, -2),$
$\text{AB}=\sqrt{(0-0)^2+(-2-6)^2}$
$\text{AB}=\sqrt{0+(-8)^2}$
$\text{AB}=\sqrt{8^2}$
$\text{AB}=8$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The pair of equations $ax + 2y = 9$ and $3x + by = 18$ represent parallel lines, where $a, b$ are integers, if:
→In the given figure, $AT$ is a tangent to the circle with centre $O$ such that $O T=4 \ cm$ and $\angle O T A=$ $30^{\circ}$. Then, $AT$ = ?
→Which of the following statements is not true?
If the equation $ax^2 + 2x + a = 0$ has two distinct roots, if:
→A quadratic polynomial whose sum and product of zeroes are 2 and -1 respectively is :
In a circle of radius $14 \ cm ,$ an arc subtends an angle of $120^{\circ}$ at the centre. If $\sqrt{3}=1.73$ then the area of the segment of the circle is
→Choose the correct answer from the given four options:
Aruna has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively:
Aruna has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively:
If the circumference of a circle increases from $4\pi$ to $8\pi,$ then its area is:
→The radius of a circle is $18 cm$ and the angle subtended by an are of this circle at the centre is $40^{\circ}$. Find the length of this are.
→Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If $S_n$ is the sum of the first $n$ terms of an $A.P,$ then its $n^{\text {th }}$ term $a_n$ is given by $a_n=S_n-S_{n-1}$.
Reason : The $10^{\text {th }}$ term of the $A.P. 5,8,11,14, \ldots \ldots$ is $35$ .
→Assertion : If $S_n$ is the sum of the first $n$ terms of an $A.P,$ then its $n^{\text {th }}$ term $a_n$ is given by $a_n=S_n-S_{n-1}$.
Reason : The $10^{\text {th }}$ term of the $A.P. 5,8,11,14, \ldots \ldots$ is $35$ .