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NARAYANA JUNIOR COLLEGE DATE:15-06-2013 Max. Marks:80

TIME :3 Hours

I. l.

MATHS.A

2x24

Answer ALLVeT Short Answer Questions.

s tf i,-3 2)'-81-[ ' I ono the values of x,y,zafld a. 6)L-2a-4) lz+2 3 -sl [t lt 2. Define trace and find the trace of I z -l s l.

lz o ll

IL

Answer ALL the Short Questions.

3.

', [r 2 -11 [-:z -rI ol 3l and x =A+B thenfind x. lf n=lz -2 o 1,r=i

4.

4x4:16

[r 3 r.] [+ -r 2) [o I 2l [-r 2 3l ff,e=lz 3 4land,s=l 0 I 0ifinda'Aand4A-sB[o o -r] [+ s -61

5.

L-,

,rr=[l --'

[o

-,

0l

-3"]

u=[9 ol 1l ,r,"nshow that \at+bE)'=a'I+3a'bE

t.] ---uno

where I is

Lo

unit matrix of order 2.

MATHp-B

I.

Answer ALL Questions. Short Answer

Questionspoint

5x4=20

1.

whirlh is at adistance 5^ from A(4,-3) a) Find the equaiion of,locus of a point which is equidlstzurce from the co-ordinate axes of a locus of Find the equation b)

2.

Find the equation of locus of a point P such that the.distance of P from the origin is twice the

J.

distance of P from A( 1,2). Find the equation of locus of a point P such that PAz + PB2 = 2c2where

and 4.

o

View more...
TIME :3 Hours

I. l.

MATHS.A

2x24

Answer ALLVeT Short Answer Questions.

s tf i,-3 2)'-81-[ ' I ono the values of x,y,zafld a. 6)L-2a-4) lz+2 3 -sl [t lt 2. Define trace and find the trace of I z -l s l.

lz o ll

IL

Answer ALL the Short Questions.

3.

', [r 2 -11 [-:z -rI ol 3l and x =A+B thenfind x. lf n=lz -2 o 1,r=i

4.

4x4:16

[r 3 r.] [+ -r 2) [o I 2l [-r 2 3l ff,e=lz 3 4land,s=l 0 I 0ifinda'Aand4A-sB[o o -r] [+ s -61

5.

L-,

,rr=[l --'

[o

-,

0l

-3"]

u=[9 ol 1l ,r,"nshow that \at+bE)'=a'I+3a'bE

t.] ---uno

where I is

Lo

unit matrix of order 2.

MATHp-B

I.

Answer ALL Questions. Short Answer

Questionspoint

5x4=20

1.

whirlh is at adistance 5^ from A(4,-3) a) Find the equaiion of,locus of a point which is equidlstzurce from the co-ordinate axes of a locus of Find the equation b)

2.

Find the equation of locus of a point P such that the.distance of P from the origin is twice the

J.

distance of P from A( 1,2). Find the equation of locus of a point P such that PAz + PB2 = 2c2where

and 4.

o

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