Question

Briefly analyse the position of the President in Indian parliamentary democracy

Answer 1

In Indian parliamentary democracy, the President is the nominal executive or a Constitutional ruler. The President is the head of the nation, but does not govern the nation. The Union Council of Ministers headed by the Prime Minister is the real executive.

Answer 2

Explanation:

Given -

BE and CF are 2 equal altitudes.

To find -

That ∆ABC is an isosceles triangle.

Solution -

In ∆BCF and ∆CBE

→ \angle∠ BFC = \angle∠ CBE (Both 90°)

→ BC = BC (common)

→ FC = CB (Given)

\therefore∴ ∆BCF ≈ ∆CBE (RHS rule)

So,

\angle∠ FCB = \angle∠ ECB (CPCT)

Similarly -

AB = AC (Side opposite to the equal angles of a triangle are also equal)

\therefore∴ ∆ABC is an isosceles triangle.

Hence, proved!

Some more rules of a Triangle -

ASA rule

When 2 angles and one side of a Triangle are equal to the 2 angles and one side of another Triangle. Then Triangles are congurent.

SAS rule

When 2 sides and one angle of a triangle are equal to the 2 sides and one angle of another Triangle. Then Triangles are congurent.

SSS rule

If 3 sides of a Triangle are equal to the 3 sides of another Triangle. Then Triangles are congurent.

RHS rule

If in 2 right triangles the hypotenuse and one side of one Triangle are equal to the hypotenuse and one angle of another Triangle. Then Triangles are congurent.

AAS rule

When 2 angles and one sides are equal to 2 angles and one side of a Triangle. Then Triangles are congurent.

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