Q21 (0, 0) pr y = sin x vak/ ko AiBalamba ka samaIkrNa hao g aa :
The equation of the normal to the curve y = sin x at (0, 0) is
(A) x = 0
(B) y = 0
(C) x + y = 0
(D) x – y = 0
Ans : C
−
1
sin(tan
x
)
Q22 ∫
dx =_______.
2
+
1
x
-1
-1
(A) cos x (tan
x) + C
(B) - cos x (tan
x) + C
-1
-1
(C) 2x cos x (tan
x) + C
(D) –2x cos x (tan
x) + C
Ans : B
2
Q23 sarla ro K a 2y= 3x + 12 Wara prvalaya 4y= 3x
ko kaTo gayao Baaga ka xao t ` f la ____vaga- maa~k hO .
2
The area cut off the parabola 4y = 3x
by the straight line 2y = 3x + 12 in sq
units is:
(A) 16
(B) 21
(C) 27
(D) 36
Ans : C
x
Q24 vak` a o M ko pirvaar y = e
(A cosx + B sinx)jahaM A AaO r B svao c C Acar hO M , ka Avakla samaIkrNa ____ hO .
x
The differential equation of the family of curves
y = e
(A cosx + B sinx), where A and B are arbitrary constants, is:
dy
2
2
dy
d
y
d
y
(A)
- 2
+ 2y = 0
(B)
+ 2
- 2y = 0
dx
dx
2
2
dx
dx
dy
2
2
2
dy
d
y
(C)
d
y
+
+ y = 0
(D)
- 7
+ 2y = 0
dx
2
dx
2
dx
dx
Ans : A
Q25 ek pa^ M s aa tqaa ek isa@ka ek saaqa ]Calao jaato hO . paM ^ s ao pr 6 tqaa isa@ko pr ica<a Aanao kI saM B aavyata &at kro M .
One die and one coin are tossed simultaneously. The probability of getting 6
on die and head on coin is
(A) 1/2
(B) 1/6
(D) [namao sao kao [ - nahI/None of these
(C) 1/12
Ans : C