BLIKE
MODELTESTPAPER
(FORPRACTIGE)
Tine Allowed:3Hours] [Maximum Marks : 80
2024.
Ceneral Instructions : See CBSE Sample Question Paper
SECTION A
(Multiple Choice Questions)
Each question carries 1mark
adj A| =
0.1. IfA is a square matrix of order 3and |A| =5, then
(a) 5 (b) 25 (c) 125
0.2. Solution of the differential equation 2xdy - ydx =0represernts :
(a) Arectangular hyperbola. (b) Parabola whose vertex is at origin.
(d) A circle whose centre is at origin.
() Straight line passing through origin.
0.3. For A= value of A'is
of the feasible region determined by the system of linear inequalities are
Q.4. The corner points maximum value of z = 4X + by, where a, b>0
occurs at
(0, 0), (4, 0), (2, 4) and (0, 5). If the
both (2,4) and (4, 0), then (d) 3a = b
(c) a=b
(a) a= 2b (b) 20 = b
3
Q.5. The valueoJ2f d+1x is 9
(c)log 2 () log
(a) log 4 (0) log ;3 2
B, where
OA=i+2j+ 3k and
vertices O, A and
formed by
ne area of a triangle
OB=-3 -2j +k is (d) 4 sq. units
(c) 6/5 sq.units
(a) 345 sq units (b) 5/5 sq. units
221
Model Test Paper -3
, Q.7. If f(r) = |x+ a I-c, then
0
(a) fa) = 0 (b) fb) =0 (c) f0) = 0 (d) f(1) =0
Q8. The position vectors of two points Aand Bare OA= 2i- j-k and OB=2i-j+2k
respectively. The position vector of a point P which divides the line segment joining
and B in the ratio 2:1is
A
(a) 2i +j-k (b) 2i -j-k (c) -2í+j-k (a) 2i-j+k
Q.9. The principal value of tann-1 tan is
5
2T -2T 3T -3
(a) (b) (C) (a)
5 5 5 5
Q.10. An urn contains 6 balls of which two are red and four are black. Two balls are drawn at
random. Probability that they are of the different colours is
2 1
(a) 4
5 (b) (c) (d)
15 15 15
Q.11. Corner points of the feasible region determined by the system of linear
constraints are
(0, 3), (1, 1) and (3, 0). Let Z = px + qy, where p, q> 0.
Condition on p and q so that the
minimum value of Z occurs at (3, 0) and (1, 1)is
(a) p=24 (b) p=q (c) p=3q (d) q=2p
Q.12. If (2i +6j +27k) x(i+pj+ qk) =0, then thevalues of pand q
are
27 27
(a) p=6, q =27 (b) p=3, q= (c) p=6,4=
2 2 (d) p=3, q= 27
0.13. The greatest integer function defined by fx) = [x], 0<
X=
x< 2 is not differentiable at
(a) 0 (b) 1 (c) 1.5
Q.14. A 2x2 matrix A= (a, whose elements are given by (d) 2
a; =|()-jl| is
(a) (b) (c) (d)
0.15. The interval in which the function fgiven by f) =
(a) (-o, o) (b) (- o, O)
xeis strictly increasing, is
(c) (2, o) (d) (0,2)
T/8
Q.16. tan(2x) is equal to
0
4-TT 4+ T
4-T
(a) (b) (c) 4-T
4 (d)
2
MODELTESTPAPER
(FORPRACTIGE)
Tine Allowed:3Hours] [Maximum Marks : 80
2024.
Ceneral Instructions : See CBSE Sample Question Paper
SECTION A
(Multiple Choice Questions)
Each question carries 1mark
adj A| =
0.1. IfA is a square matrix of order 3and |A| =5, then
(a) 5 (b) 25 (c) 125
0.2. Solution of the differential equation 2xdy - ydx =0represernts :
(a) Arectangular hyperbola. (b) Parabola whose vertex is at origin.
(d) A circle whose centre is at origin.
() Straight line passing through origin.
0.3. For A= value of A'is
of the feasible region determined by the system of linear inequalities are
Q.4. The corner points maximum value of z = 4X + by, where a, b>0
occurs at
(0, 0), (4, 0), (2, 4) and (0, 5). If the
both (2,4) and (4, 0), then (d) 3a = b
(c) a=b
(a) a= 2b (b) 20 = b
3
Q.5. The valueoJ2f d+1x is 9
(c)log 2 () log
(a) log 4 (0) log ;3 2
B, where
OA=i+2j+ 3k and
vertices O, A and
formed by
ne area of a triangle
OB=-3 -2j +k is (d) 4 sq. units
(c) 6/5 sq.units
(a) 345 sq units (b) 5/5 sq. units
221
Model Test Paper -3
, Q.7. If f(r) = |x+ a I-c, then
0
(a) fa) = 0 (b) fb) =0 (c) f0) = 0 (d) f(1) =0
Q8. The position vectors of two points Aand Bare OA= 2i- j-k and OB=2i-j+2k
respectively. The position vector of a point P which divides the line segment joining
and B in the ratio 2:1is
A
(a) 2i +j-k (b) 2i -j-k (c) -2í+j-k (a) 2i-j+k
Q.9. The principal value of tann-1 tan is
5
2T -2T 3T -3
(a) (b) (C) (a)
5 5 5 5
Q.10. An urn contains 6 balls of which two are red and four are black. Two balls are drawn at
random. Probability that they are of the different colours is
2 1
(a) 4
5 (b) (c) (d)
15 15 15
Q.11. Corner points of the feasible region determined by the system of linear
constraints are
(0, 3), (1, 1) and (3, 0). Let Z = px + qy, where p, q> 0.
Condition on p and q so that the
minimum value of Z occurs at (3, 0) and (1, 1)is
(a) p=24 (b) p=q (c) p=3q (d) q=2p
Q.12. If (2i +6j +27k) x(i+pj+ qk) =0, then thevalues of pand q
are
27 27
(a) p=6, q =27 (b) p=3, q= (c) p=6,4=
2 2 (d) p=3, q= 27
0.13. The greatest integer function defined by fx) = [x], 0<
X=
x< 2 is not differentiable at
(a) 0 (b) 1 (c) 1.5
Q.14. A 2x2 matrix A= (a, whose elements are given by (d) 2
a; =|()-jl| is
(a) (b) (c) (d)
0.15. The interval in which the function fgiven by f) =
(a) (-o, o) (b) (- o, O)
xeis strictly increasing, is
(c) (2, o) (d) (0,2)
T/8
Q.16. tan(2x) is equal to
0
4-TT 4+ T
4-T
(a) (b) (c) 4-T
4 (d)
2
