Download App

Circles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsCircles1 Mark
MCQ
$\text{ABC}$ is a triangle with $B$ as right angle, $AC = 5\ cm$ and $AB = 4\ cm$. A circle is drawn with $A$ as centre and $\text{AC}$ as radius. The length of the chord of this circle passing through $C$ and $B$ is:
  • A
    $3\ cm.$
  • B
    $4\ cm.$
  • C
    $5\ cm.$
  • ✓
    $6\ cm.$
✓

Answer

Correct option: D.
$6\ cm.$

$AD$ and $AC$ are radii of same circle and $CD$ is a chord.
Consider $\triangle\text{ABC},$
$BC^2 = (AC)^2 - (AB)^2$
$=5^2 - 4^2 = 25 - 16 = 9$
$\Rightarrow BC = 3\ cm$
Chord $CD = 2 \times BC = 6\ cm$

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 "MCQ(1M)" from Circles→Circles — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

The zeros of the polynomial $p(x) = 2x^2 + 7x - 4$ are:
→
Two cylindrical jars have their diameters in the ratio $3 : 1,$ but height $1 : 3.$ Then the ratio of their volumes is:
→
The simplest for of $0.\overline{54}$ is:
→
If a triangle and a parallelogram are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the parallelogram is:
→
If the length of a chord of a circle is $16\ cm$ and is at a distance of $15\ cm$ from the centre of the circle, then the radius of the circle is:
→
If $\text{ABC}$ and $\text{DEF}$ are two triangles such that $\triangle\text{ABC}\cong\triangle\text{FDE}$ and $\text{AB}=5\text{m},\angle\text{B}=40^\circ$ and $\angle\text{A}=80^\circ.$ Then, which of the following is true?
→
The median of a triangle divides it into two:
→
P = {x | x is an odd natural number, 1< x < 5}. How to write this set in roster form?
→
The value of $\sqrt[4]{(64)^{-2}}$ is:
→
The length of the longest chord of the circle with radius 2.9 cm is ____.
→