Mathematics

In the given figure , AOC is the diameter of the circle , with centre O. if arc AXB is half of arc BYC , find $\angle BOC$.

SOLUTION
Given $arc(A\times B)=\dfrac{1}{2}arc B\times C$
$\Rightarrow \dfrac{180^o-\theta}{360}\times 2\pi r=\dfrac{1}{2}\times \dfrac{\theta}{360^o}\times 2\pi r$
$\Rightarrow 360^o-2\theta =\theta$
$\Rightarrow \theta =120^o$
$\therefore \angle BOC=120^o$. You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Single Correct Medium
In the figure(not drawn to scale), DAE, CBH and ACG are straight lines, DAE$||$CBH$||$FG and CA$=$CB. Find x and y respectively.
• A. $70^o, 35^o$
• B. $110^o, 35^o$
• C. $140^o, 20^o$
• D. $110^o, 145^o$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q2 Single Correct Medium
In the given figure, $m ||n$ and $\angle1=50^o$ then find $\angle5$.
• A. $60^o$
• B. $70^o$
• C. $180^o$
• D. $130^o$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q3 Multiple Correct Medium
Given a line and a point, not on the line, there is one and only ...... line which passes through the given point and is ..... to the given line.
• A. two, parallel
• B. two, perpendicular
• C. one, parallel
• D. one, perpendicular

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q4 Subjective Medium
If $\left(2x-14\right)$ and $11\left( x+7 \right)$ are supplementary angles then find the angles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
What is an Obtuse Angle ?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020