Download App

Co-ordinate Geometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCo-ordinate Geometry1 Mark
MCQ
The distance between the points $P(2, \tan \alpha)$ and $Q(3,0)$ is
  • A
    $\sec \alpha$
  • B
    $\operatorname{cosec} \alpha$
  • ✓
    $|\sec \alpha|$
  • D
    $|\operatorname{cosec} \alpha|$
✓

Answer

Correct option: C.
$|\sec \alpha|$
(C)$|\sec \alpha|$
$P Q=\sqrt{(2-3)^2+(\tan \alpha-0)^2}=\sqrt{1+\tan ^2 \alpha}=\sqrt{\sec ^2} \alpha=|\sec \alpha|\qquad\left[\because \sqrt{x^2}=|x|\right]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Co-ordinate Geometry→Co-ordinate Geometry — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The distance of the point $(-1,7)$ from $x$-axis is
→
If $\text{2x}=\sec\text{A}$ and $\frac{2}{\text{x}}=\tan\text{A}$ then $2\Big(\text{x}^2-\frac{1}{\text{x}^2}\Big)=?$
→
If the $n ^{\text {th }}$ term of an $A P$ is $(2 n+1)$ then the sum of its first three term is
→
The first four terms of the sequence $a_n= 2n + 3$ are :
→
If A(2, 2), B(-4, -4) and C(5, -8) are the vertices of a triangle, then the length of the median through vertices C is:
→
If $x \neq y$ and the sequences $x, a_1, a_2, y$ and $x, b_1, b_2, y$ each are in $A.P.,$ then $\left(\frac{a_2-a_1}{b_2-b_1}\right)$ is
→
The difference between two distinct irrational numbers is always
→
The perimeter of a sector of a circle with radius $'r’$ and with sector angle $\theta$ is given by :
→
What is the probability that a non $-$ leap year has $53$ Sundays?
→
Three alarm clocks ring their alarms at regular intervals of $20\ min, 25\ min$ and $30\ min$ respectively. If they first beep together at $12$ noon, at what time will they beep again for the first time?
→