SAMPLE PAPER

-12 (m ˜)

 

(ܷ )

3 U Z 30

 

(1) ˜ U U

(2) U U

 

(1) ِ U U U ( 1 )

() Ȥ log 19-x2

() Lim Sinx-Cosx

xII/4

() ߷ x=aCos O , y = bsin O O U ܐ

() U fx2-10xy+12y2+5x-16y-3=0 U U U f

 

2. ِ U U U ( 1 )

() integrate(1+Sin(x/4))1/2 dx

() y=Sinx/1+Cosx h dy/dx=1/1+Cosx

() U y=x+2 U ߷ x2+y2=4 ̑U U 跤U

() U x2+2xySec O +y2=0

 

3. ِ U U U ( 1 )

() ߷ 跤U dy/dx= (1+y2/1+x2)1/2 U

() (3x/(x-2) (x+1))1/2 dx

() yx=xy dy/dx

() (Cos2(logx))1/2/x dx

 

4. ِ U U U ( 2 )

() Ȥ f (x) = 1x-21x-2, x<>2 ̈ x=2 U

O, x=2

() integrate 0II xSinx dx

1+Cos2x

() h U U xCos o+ySin o =p U x2/a2-y2/b2=1 S U U p2=a2Cos2 o- b2sin2o

() U } 跤U (4, - 10) U (8, 8) U U 2x-y=5 U S U

 

5. ِ U U U ( 2 )

 

() x(1+y)1/2+ y (1+x)1/2 = 0, h dy/dx=- (1+x)-2

() ߷ 9y2= x3 U U 贿 ܐ UU ѹU U

() integrate[1/logX-1/(logx)2] dx

() x d2y/dx2+dy/dx+x=0 U

 

6. ِ U U 3

() h U 緤 U ax2+2hxy+by2=0 U lx+my+n=0 mU Ȥ

n2 (h2-ab)1/2/am2-2hlm+bl2 U

() Ȥ (Sinx) 1/3 x h ߷ U

 

(7). ِ U U 3

() h integrate 0oo log (x+1/x) dx/1+x2= IIlog2

()} x2/a2+y2/b2=1 U 贿 ܐ S ̑U x2+y2= a2+b2 U U

 

8. ِ U U 3

() 4x2-4xy+y2-8x-6y+5=0 U U

() } x2+y2=16 x- U 2II U U U (cU) U

 

 

U

1. U UU U U U cU U

2. ܃} v SU

3. U ̉ UU U

4. ڢU U U U UUU U

U       ן v

 

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