Mathematics - Online Test
Q1.
Two coins are tossed once ,where E :no tail appears , F : no head appers. Find P(E/F).
Answer : Option C
Explaination / Solution:
Q2. The value of the expression sinθ+cosθ lies between
Answer : Option D
Explaination / Solution:
Minimum value = and maximum value =
Q3. If both f and g are defined in a nhd of 0 ; f(0) = 0 = g(0) and f ‘ (0) = 8 = g’ (0), then is equal to
Answer : Option A
Explaination / Solution:
( by using L’Hospital Rule )
Q4. For each n N , is divisible by :
Answer : Option D
Explaination / Solution:
when n = 1 the value is 8 which is the multiple pf 8.
Q5. The equation represents a
Answer : Option C
Explaination / Solution:
On factorizing the given equation we get x-4y=0 and x-3y=0, which represents a pair of intersecting straight lines. Since the product of their slopes is not equal to -1, they are non perpendicular.
Q6. Find the equation of the line in cartesian form that passes through the point (– 2, 4, – 5) and parallel to the line given by
Answer : Option D
Explaination / Solution:
Find the equation of the line in cartesian form that passes through the point (– 2, 4, – 5) and parallel to the line given by
is given by:
And l = 3 , m = 5 and n = 6 .
Therefore ,
.
is given by:
And l = 3 , m = 5 and n = 6 .
Therefore ,
.
Q7. The largest value of sin θcosθ is
Answer : Option B
Explaination / Solution:
sinθcosθ=12.2sinθcosθ=12.sin2θButthemaximumvalueofsin2θis1.Sothemaximumvalueofsinθcosθ=12
Q8. The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is
Answer : Option B
Explaination / Solution:
You have two different kinds of such three-digit even numbers.First is 5 at the hundred'splace and second 5 is not at the hundred'splace
In first case no is of the form 57x, where x is the unit's digit ,which can be 0,2,4,6,8 which is just 5 possibilities.Hence the no of possibilities in this case is 1x1x5=5
In second case the hundred's digit can be 1,2,3,,4,,6,7,8,or,9 which is 8 ways and the ten's digit can be any of the 9 numbers and unit digit can be any of the 5 even numbers .Therfore the no: of ways will be 8×9×5=360
So total we have 360 + 5 = 365 possibilities.
Q9. General solution of is
Answer : Option C
Explaination / Solution:
It is of the form of linear differential equation.hence the solution is y X IF =
Q10. The plane x = 0 divides the join of ( - 2 , 3 , 4 ) in the ratio
Answer : Option A
Explaination / Solution:
No Explaination.
