NCERT Solutions class-11 Maths Exercise 3.3

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Exercise 3.3

Prove that:

1.

Ans. 1. L.H.S. =

=

= R.H.S.


2.

Ans. L.H.S. =

=

=

=

=


3.

Ans. L.H.S. =

=

=

=

= = R.H.S.


4.

Ans. L.H.S. =

=

=

=

= = R.H.S.


5. Find the value of:

(i)

(ii)

Ans. (i)

=

(ii)

=

=


Prove the following:

6.

Ans. L.H.S. =

=

= = R.H.S.


7.

Ans. L.H.S. =

[Using ]

= =

= = R.H.S.


8.

Ans. L.H.S. =

= = = R.H.S.


9.

Ans. L.H.S. =

=

=

=

= 1 = R.H.S.


10.

Ans. L.H.S. =

=

=

= = R.H.S.


11.

Ans. L.H.S. =

= =

= =

= = R.H.S.


12.

Ans. L.H.S. =

=

= = R.H.S.


13.

Ans. L.H.S. =

=

= = R.H.S.


14.

Ans. L.H.S. =

=

=

=

=

=

=

= = R.H.S.


15.

Ans. L.H.S. =

=

= =

R.H.S. =

=

= =

L.H.S. = R.H.S.


16.

Ans. L.H.S. =

=

= = R.H.S.


17.

Ans. L.H.S. =

=

= = R.H.S.


18.

Ans. L.H.S. =

=

= = R.H.S.


19.

Ans. L.H.S. =

=

= = R.H.S.


20.

Ans. L.H.S. =

=

=

= = R.H.S.


21.

Ans. L.H.S. =

=

=

=

= = = R.H.S.


22.

Ans. We know that


23.

Ans. L.H.S. =

=

=

=

= = R.H.S.


24.

Ans. L.H.S. =

=

=

= = R.H.S.


25.

Ans. L.H.S. =

=

=

=

= = R.H.S.


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