
CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen
CBSE CLASS XII

Functions and Relations (4/6 Mark)
Page 4 of 5
- Prove that tan -1 (1/5) + tan -1 (1/7) + tan -1 (1/3) + tan -1 (1/8) = 1.
- Prove that
.
- Prove that
.
- Prove that
.
- Write in simplest form:
.
- Prove that tan -1 3/4 + tan -1 3/5 – tan -1 8/15 = π/4.
- Show that the binary operation * defined by a*b = a – b, on Z is not commutative and associative..
- Let f : x → y and g : y → z be two invertible functions. Then gof is also with (gof)-1 = f-1 o g-1.
- Show that the function f: Z → Z given by f(x) = x² is not injective.
- Evaluate :
.
- Solve for
.
- If
.
- Check whether the operator
define by a b=a+b -ab is commutative or aasociative.
- if
.
- Proved that
.
- Let A =NxN and Let * be a binary operation on A defined by (a,b)*(c,d) = (ad+bc,bd) for all (a,b),(c,d) € NxN.Determine if * is commutative, associative,
- Solve for
.
- Prove that:
.
- If the function f : R→R defined by ,Prove that f is one-one and onto function. Also find the inverse of the function f and f-1(23) .
- Solve for
.

Submitted By Mrs. E.Praveen
Email Id : estherpraveen@hotmail.com |
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