23/02/2018 10:46 am
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Hello sir,
Please help me with the approach.
35 questions & discussions are there under this sub-topic
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24/01/2024 5:08 pm
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) 27/01/2024 12:56 pm
Ans – 0.5
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
03/02/2024 1:47 pm
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 ?
1
23/02/2018 10:50 am
Hello Abhi !
0
23/02/2018 10:51 am
Alternate Approach :
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25/07/2018 10:08 pm
please share the solution to this problem
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.
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26/07/2018 12:18 am
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.
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26/07/2018 12:21 am
Hey sir, please help me with the below question.
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
01/08/2018 8:12 pm
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
0
02/08/2018 5:43 pm
Hi sir, please share the solution
TG Team 02/08/2018 6:07 pm
Hello Richa ,
All the options seem wrong the correct answer is 10 - 2sqrt{15}
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02/08/2018 5:45 pm
Hi sir, please help with this problem
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
0
08/08/2018 6:27 am
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.
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/ :
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