Mathematics - Online Test
Q1. Equation of a plane perpendicular to a given line with direction ratios A, B, C and passing through a given point (x1, y1, z1) is
Answer : Option B
Explaination / Solution:
In Cartesian co – ordinate system Equation of a plane perpendicular to a given line with direction ratios A, B, C and passing through a given point (x1, y1, z1) is given by : A (x – x1) + B (y – y1) + C (z – z1) = 0 .
Q2. If are non-real cube roots of unity then + equals
Answer : Option C
Explaination / Solution:
If are non-real cube roots of unity then we have either
Q3. Variable separation method can be used to solveFirst Order, First Degree Differential Equations in which y’ is of the form.
Answer : Option B
Explaination / Solution:
y’ = h(x)g(y) since we can segregate functions of y with dy and x with dx.
Q4. The coefficient of in the expansion of is
Answer : Option A
Explaination / Solution:
Q5. The number of proper subsets of the set { 1, 2 , 3 } is :
Answer : Option B
Explaination / Solution:
The no of proper subsets=2n-1=23-1=7
Here n=no of elements of given set=3
Q6. is equal to
Answer : Option D
Explaination / Solution:
Q7. If a , b , c are real numbers such that a ≥ b , c > 0, then
Answer : Option D
Explaination / Solution:
The inequality remains same if both sides of an inequality are multiplied by the same positive real number.
Q8. If be the arithmetic mean between two distinct positive reals a and b then the value of n is
Answer : Option C
Explaination / Solution:
Q9. A man travels at a speed of 20 km/hour and then return at a speed of 30 km/hour. His average speed of the whole journey is
Answer : Option A
Explaination / Solution:
average speed for whole journey is the H.M between 20 and 30
therefore, average speed km/hr
Q10.
Find the approximate value of f(2.01) where
Answer : Option B
Explaination / Solution:
