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Hello sir, 

Please help me with the approach.

p4
35 questions & discussions are there under this sub-topic
3

Q1. In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is?

Neraj (Tg)Faculty 27/01/2024 12:56 pm

@sachin-yadav

Ans – 0.5

circle

The idea that we use here is remarkably simple.
We know, the product of rectangles formed by two intersecting chords are always equal
So, AE x EB = CE x ED
AE x EB = 7 x 15
Also, we know that AB = 20.5 cms = AE + EB
So, the Sum of AE and EB must be 20.5 and their product must be equal to 7 x 15
7 x 15 = 105
The numbers must be close to each other, for their sum to be 20.5
From trial and error, we find their values to be 10 and 10.5 cms respectively
So, AE x EB = 7 x 15
10 x 10.5 = 7 x 15
Difference = 10.5 - 10 cms = 0.5 cms

2

Q1.  AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to ?

Madhav 06/02/2024 12:55 pm
1

Hello Abhi ! 

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Alternate Approach : 

11009895 818970658220567 1866378142803402006 n
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please share the solution to this problem

new ques
TG Team 25/07/2018 10:51 pm

Hi Richa! 

 

PFA the solution . 

 

IMG 20180725 224701
Richa 25/07/2018 11:50 pm

Ohh thank you. The question says to find the length of tangent from the center of one circle to the other, I thought it meant from one center to the other center. The question wasn't clear to me. 

 

 

0

Hello Sir, please help me with the below 2 questions:

 

Q1) Two circles of radii 14 and 22 units are 45 units apart at the centers. What is the length of their common internal tangent?

 

Q2) A square whose area is 64 is partitioned into four congruent smaller squares. Find the circumference of the circle that passes through the centers of the four subsquares. 

TG Team 26/07/2018 4:14 pm

Q. 1 

geo sol

 

 

TG Team 26/07/2018 4:28 pm

Q . 2

 

IMG 20180726 162321
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Hey sir, please help me with the below question.

IMG 20180726 001945
TG Team 26/07/2018 1:54 pm

Hello Richa ! 

 

PFA the approch. 

 

IMG 20180726 134319
Richa 01/08/2018 12:47 pm

Sir, how do we know that angle CAB is 60°? 

Or if I put it in different term- how do we know that triangle ABC is an equilateral triangle? 

 

Please help.

TG Team 01/08/2018 2:23 pm

AC and  AB are circular arcs so 

AC = AB = BC = r ( Radii ) 

Hence , ABC is an equilateral triangle . 

0

Hi sir, please help.

IMG 20180726 002417
aniket prajapati 04/10/2018 4:05 pm
IMG 20181004 160320
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o is the centre of the circle please provide the solution

 

This post was modified 6 years ago 2 times by TG Team
TG Team 28/07/2018 11:53 pm

Hello Aniket , 

 

PFA the attached solution .

FB IMG 1532801098890
0

In the rectangle ABCD , the perpendicular bisector of AC divides the longer side AB in a ratio 2:1 . Then the angle between AC and BD is?

Sir the figure is troubling me 

TG Team 01/08/2018 11:02 pm

Hello Richa 

 

PFA the solution. 

 

IMG 20180801 WA0018
TG Team 05/08/2018 3:33 pm

An easier approch : 

IMG 20180805 152942
0

Hi sir, please share the solution

IMG 20180802 173904
TG Team 02/08/2018 6:07 pm

Hello Richa , 

All the options seem wrong the correct answer is 10 - 2sqrt{15}

38149370 1756966047754352 6120046011290222592 o
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Hi sir, please help with this problem

IMG 20180802 173836
TG Team 02/08/2018 6:22 pm

Join E - A and D - A 

the angle formed ( EAD ) will be 30º

So the angle formed by the side of the square  at center = 60º 

Hence,  Equilateral triangle 

Radius = Side of the square = 2

37976098 1756993091084981 7529868674014904320 o
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Sir, can you help me with the diagram of this question? I'm not able to visualize or draw the diagram.

AB and CD are perpendicular to a diameters of Circle O. Let CM be a chord that intersect AB at E, so that CE=6 and EM =5. Find the circumference of the circle.

This post was modified 6 years ago by Richa
TG Team 08/08/2018 12:15 pm

This problem is similar to the question of the day : 25 

   http://tathagat.mba/quant-question-of-the-day-25/ : 

0
20180819 071425
TG Team 19/08/2018 10:36 am

Hello Richa PFA the approch . 

IMG 20180819 103335
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