10th Class Exams 2025-FIBSE-Q NO v a b-SSC II-class 10th exam

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Qv a Prove that if the angle is subtended by two chords of a circle (or congruent circle) at the center corresponding centers) are equal, chords are equal.  b If alpha and beta are roots of a given equation then form an equation whose roots are alph^2beta, alphabeta^2 x^2-3x-6=0

Transcript

00:00bismillahirrahmanirrahim assalamu alaikum dear students and viewers in today video we are

00:14going to cover the session of part 5 of section 2 of the math paper of 10th class which is dedicated

00:23to the other board examination system so let's start the question then we will move to the solution

00:30if the angles subtended by two chords of a circle or congruent circle means equal circles at the

00:37center corresponding centers are equal then chords are equal

00:45solution so i am going to click a bit reduce this one you can check this okay

00:52okay now we have two concurrent circles are equal circles circle we have got a c and a dash c dash c

01:05if we subtended angles a o's a o c s e o a a dash o dash c dash c dash o dash c

01:15which centers o and o dash respectively now given a b c d and a dash b c dash are congruent circle

01:26which center o and o dash respectively a c and a dash c dash are chords of the circles a b c d and a dash

01:34b dash b dash c dash d dash respectively and moment of angle a oh sorry moment of length a c chord is equal to

01:50a dash c dash chord which is given

01:53i forget to

01:58i forget to

02:02this one otherwise this will become chord arc sorry this will become arc okay

02:08proof

02:16in triangle a o c corresponding to the triangle uh triangle a dash o dash c dash a o is equal to

02:25a o a dash o dash a day of the congruent circles or you can also say that co is equal to c dash o dash

02:34a die of the congruent circles moment of angle a oc is equal to moment of angle a dash o dash c dash given

02:45triangle a o c is equal to triangle o dash a dash c dash it means we have two sides equal and one angle

02:52equals so these two sides are equal and this one angle is equal so according to this theorem both the

03:00length of the length of the cards a c and a dash c dash are equal hence proved

03:07now we will move to the second r b part of the question

03:12five if alpha and beta are roots of given equation then from an equation

03:18whose roots are alpha scale beta and alpha beta scale find the equation

03:24x square minus three x plus six six this is the equation that we have

03:29on the questions so solution we know x is equal to sum of the roots is equal to alpha plus beta

03:36is equal to minus b over a p is equal to product of the roots is equal to alpha beta is equal to c over a

03:42here a is equal to one coefficient of xk p is equal to minus a coefficient of x and c is equal to c which

03:50is a constant which is equal to six therefore alpha plus beta which is equal to s minus a by a

03:58minus into minus 3 and anything divided by 1 is 3 alpha beta is equal to 6 c over a c 6 by 1 is

04:10equal to 6 hence rules s is equal to sum of rules of required equation is equal to alpha scale beta

04:17scale plus alpha beta scale is equal to minus b over a taking alpha beta common from the left

04:24side expression we will get alpha beta into alpha plus beta so alpha beta alpha beta means product

04:316 into 3 is equal to 18 sum is equal to 18 similarly p product of the rules of the required equation

04:39is equal to alpha square beta into alpha beta scale is equal to alpha beta into alpha alpha beta into

04:47beta alpha beta whole scale and alpha beta 6 cascade into 6 and product will go to 216

04:58so put the value in the required equation we will get the answer so i hope you will find this

05:07solution useful if you have any question query ask me in the comment section thanks for watching

05:17so snap ke sir

05:18so snap ke sir

05:23she'sfurth

05:25so snap

05:29she's furth

05:33so snap

05:36missus

05:39she's so

05:40mo

05:42clear

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