CBSE 11TH MATHEMATICS - Online Test
Q1. Which of the following is not a measure of central tendency :
Answer : Option C
Explaination / Solution:
meausre of central tendencies give the middle most or average value whereas range gives the difference between highest and lowest value.
Q2. The lines y = mx , y + 2x = 0 , y = 2x + λ and y = - mx + λ form a rhombus if m =
Answer : Option B
Explaination / Solution:
Rhombus is a parallelogram in which the opposite sides are equaland parallel.
Therefore the lines y = mx and y = -2x are parallel, similarly y = 2x+ and y = -mx + are parallel.
If two lines are equal, then their slopes are qual
This implies m = -2
Q3. Which of the following is not a proposition ?
Answer : Option A
Explaination / Solution:
The above statement is a fact and the other options are mathematical statements which are proposition .
Q4. Three normals to the parabola are drawn through a point (c, 0) then
Answer : Option D
Explaination / Solution:
The equation of the normal to a parabola y2 = 4ax is
y = mx -2am - am3
Hence the equation of the normal to the given parabola y2 = x is
mx - -
Since it passes throught (c,0)
mc -- = 0
on solving we get
m = 0 or m2 = 4(c-1/2)
If m = 0 then the equation of the normal is y = 0
If m2 0, then 4(c-1/2) 0
Hence c-1/2 0 or c > 1/2
Q5.
If is divisible by 9 for all n N , then the least positive integral value of k is :
Answer : Option C
Explaination / Solution:
When n = 1 we have 58. Given that the expression is divisible by 9 . Hence the least value of k will be 5,so that the value becomes 63 which is divisible by 9.
Q6. In a triangle ABC, a = 13, b = 14, c = 15; then the radius of the incircle r of triangle ABC=
Answer : Option C
Explaination / Solution:
Q7.
If then n is
Answer : Option A
Explaination / Solution:
Q8. The line is
Answer : Option C
Explaination / Solution:
The line is parallel to Z- axis as here value of x and y is fixed . Here whatever be the value of z , x and y will be fixed So it represent a plane parallel to Z axis
Q9. he locus of the equation is
Answer : Option A
Explaination / Solution:
We have this is a circle with centre (1/4,0) and radius =1/4.
Q10. 5th term from the end in the expansion of is
Answer : Option D
Explaination / Solution:
