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1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a parallelogram.
Quadrilateral PQRS has angle bisectors PT,QA,RA,SC. ΔPQB,ΔQBT,ΔSDC are right angled triangle. Let angle P=2x so, ∠PQB=90−x=∠BQT ∴∠QTB=(90−(90−x))=x ∠CTR=180−x In...
Anmol
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3. Construct a ΔABC in which ∠B = 60°, ∠C = 45° and the perimeter of the triangle is 10 cm.
Given: In ∆ABCAB + BC + CA = 10 cm, ∠B = 60° and ∠C = 45°.Required: To construct ∆ABC.Steps of Construction :1. Draw DE = 10 cm2. At D, construct ∠EDP = 12 of 60°= 30° and...
Saritha
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2. Construct a ΔXYZ in which ∠Y = 45°, ∠Z = 75° and XY + YZ + ZX = 12 cm.
Step 1: Draw a line segment AB=13 cm.Step 2: At A, construct an angle of 45∘ and at B construct an angle of 90∘.Step 3: Bisect these angles. Let bisector of these angles intersect at point X. Join AX...
Mukundan
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Mathemathics Pro Question for 9th to 12th students .
which one is greater ? 6√10 , 3√4, 2√5 Hind to solve this question : take LCM and then find greater Question ask in CGL , CHSL , Bank PO . Question type : Surds and its type .

Why do most of the students face difficulty in maths ?
In my opinion, most of the students would have done great in maths in childhood (say 1st to 4th STD), not because they were studying well, it might be because the concepts were easy. But what happens...
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Rakesh Shanbhag

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