General Enunciation:If a straight line intersects another two straight lines and if the alternate angles are equal to each other. Particular Enunciation: Let the straight line EF intersects AB and CD at G and H respectively so that ∠AGH= alternate ∠GHD and ∠BGH =alternate ∠GHC. It is required ...

Read More »## Solution of exercise 8.4 (Circle) of class Nine and Ten ( 9 – 10)

Problem – 1. From some exterior point P of a circle with center O two tangents are drawn to the circle. Prove that OP is the perpendicular bisector of the chord of contact. Particular Enunciation: Given that, O and P are the centre and any exterior point respectively of the ...

Read More »## PDF| Solution of exercise 8.3( 9 – 10) nine – ten

PDF| Solution of exercise 8.3( 9 – 10) nine – ten: Solution of exercise 8.3_Circle_1

Read More »## Solution of exercise 8.3(Circle)| Class Nine – Ten (9 – 10)| Part – 2

Problem – 4: The chords AB and CD of a circle with centre O meet at a right angles at some points within the circle. Prove that ∠AOD +∠BOC=2 right angles. General Enunciation: The chords AB and CD of a circle with centre O meet at right angles at ...

Read More »## Solution of exercise 8.3(Circle)| Class Nine – Ten (9 – 10)| Part – 1

Problem – 1: In the ∆ABC, if the bisectors of ∠B and ∠C meet the point P and their exterior bisectors at Q, show that the four points B, P, C and Q are concyclic. General Enunciation: In the ABC, if the bisectors of ∠B and ∠C meet the point ...

Read More »## Solution of exercise 8.2| Class Nine and Ten (9 – 10)

PROBLEM – 1. ABCD is quadrilateral inscribed in a circle with centre O. If the diagonals AC and BD intersect at the point E,prove that ∠AOB+∠COD=2∠AER. General Enunciation: ABCD is quadrilateral inscribed in a circle with centre O. If the diagonals AC and BD intersect at the point E, ...

Read More »## PDF| Lecture on Riemann integral

PDF| Lecture on Riemann integral: Just knock Here: Riemann integral

Read More »## Restriction’s of Kelvin’s theorem

Kelvin’s theorem implies that irrotational flow will remain irrotational if the four restrictions are satisfied. 1. There are not viscous forces along C. If C moves into regions where there are net viscous forces such as within a boundary layer that forms on a solid surfaces then the circulation changes. ...

Read More »## PDF| In easy way proof of Kelvins circulation theorem

CLICK HERE: Kelvins circulation theorem

Read More »## Baire’s theorem | Functional Analysis

Statement: If X is a complete metric space, the intersection of every countable collection of dense open subsets of X is dense in X. Proof: Suppose v1, v2,… are dense in and open in X. We have to prove that is dense in X. It is suffices to show that ...

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