 # Kerala Plus One Maths Important Questions

Class 11 Mathematics is very important, as it helps students to get a strong foundation for the class 12 maths. Students who have opted for mathematics for their class 11 and 12 are those who aim to do engineering entrance exams of those who wish to take up mathematics for their higher studies. The concepts and topics covered in mathematics as per the Kerala Class 11 syllabus, will be beneficial for students who aim to do competitive exams. These students also plan to prepare ahead for the exams with the help of study resources and Kerala Plus One Maths important questions.

## Why do Students Opt for Kerala Board Class 11 Important Questions in Maths?

Meanwhile, see here some of the advantages of the important questions of Class 11 maths that have been compiled:

• Students get better acquainted with the type of questions asked
• They get more practice and gain more confidence
• They get used to solving questions in mathematics
• It covers important concepts and topics in the subject
• Students are able to study well and prepare for exams

Having recognized the importance of delivering resources study material for the Kerala board plus one students, we at BYJU’s have compiled a list of important questions from Maths subject of the Kerala Board Class 11:

1. Find sum to “n” terms of the sequence 4+ 44+ 444+ ___________________
2. Solve Sin 2x- Sin 4x + Sin 6x = 0
3. One card is drawn at random from a pack of 52 playing cards. Find the probability that:
• The card drawn is black
• The card drawn is a face card
• The card drawn is a black face card

4. (a) If A= {a, b, c}, then write the power set P (A).

(b) If the number of subsets with 2 elements of a set P is 10, then find the total number of elements in set P,

(c) Find the number of elements in the power set of P.

5. Consider the Venn diagram of the Universal Set U= {1,2,3,4,5,6,7,8,9,10,11,12,13} 1. Write sets A and B in Roster form
2. Verify $( A \cup B)’ = A’ \cap B'$
3. Find $n (A\cup B)'$

6. The figure shows the graph of a function $f(x)$, which is a semi circle centered at the origin: 1. Write the domain and range of
2. Define the function of

7. Consider a point A (4, 8, 10 ) in space

1. Find the distance of the point A from XY – plane
2. Find the distance of the point A from X- axis
3. Find the ratio in which the line segment joining the point A and B (6, 10, -8) is divided by YZ- plane

8. Consider the quadratic equation,x2 + x + 1 = 0

2. Write the polar form of one of the roots
3. If the two roots of the given quadratic are and , show that .

9. Consider the following data:

 Class 10-20 20-30 30-40 40-50 50-60 Frequency 6 15 13 7 9
1. Calculate the mean of the distribution
2. Find the standard deviation of the distribution
3. ‘Find the coefficient of variation of the distribution

10. Consider the statement “$10^{2n-1} + 1$ is divisible by 11”. Verify that P(1) is true and then prove the statement by using mathematical induction.

11. (a) Solve the inequality $\frac{x}{3}>\frac{x}{2} +1$

(b) Solve the system of inequalities graphically:

$2x + y > 6$ $3x + 4y\leq 12$

12. (i) The distance between the points (1, -2, 3) and (4,1,2) is ______

1. $\sqrt{12}$
2. $\sqrt{19}$
3. $\sqrt{11}$
4. $\sqrt{15}$

(ii) The centroid of a triangle ABC is at the point (1, 2, 3). If the coordinates of A and B are (3, -5, 7) and (-1, 7 , -6) respectively. Find the coordinate points of C.

13. (a) Find the variance for the observations 2,4,6,8 and 10.

(b) Consider the frequency distribution

 x 5 10 15 20 25 f 7 4 6 3 5

14. (i) Sin 225°_________

(a)$\frac{1}{\sqrt{2}}$

(b) $\frac{\sqrt{3}}{2}$

(c)$-\frac{1}{\sqrt{2}}$

(d) $\frac{1}{2}$

(ii) Find the principal and general solutions of Sin x = –

(iii) Prove that

$Tan [\frac{A-B}{2}]= \frac{a-b}{a+b}Cot\frac{c}{2}$

15. (a) Find the equation of the line passing through the points (3, -2) and (-1, 4).

(b) Reduce the equation $\sqrt{3x} + y-8= 0$ into normal form

(c) If the angle between two lines is $\frac{\pi }{4}$ and slope of one of the lines is 1/2 , find the slope of the other line.

16. Which one among the following is the interval corresponding to the inequality -$-2 < x \leq 3?$?

(a) [-2, 3] (b) [ -2, 3) (c)(-2,3] (d) (-2,3)

(b) Solve the following inequalities graphically:

$2x + y\geq 4$ $X + Y \leq 3$ $2x- 3y\leq 6$

17. (a) Write the negation of the statement :

“Every natural number is greater than zero”

(b) Verify by the method of contradiction :

“ P : is irrational

18. (a) A= { $\frac{X}{X}$ is a prime number, $X\leq 6$

(i) Represent A in the Roster form

(ii) Write the Powerset of A

(b) Out of the 25 members in an office, 17 like to take tea, 16 like to take coffee. Assume that each takes at least one of the two drinks.

How many like:

(i) Both Coffee and Tea?

(ii) Only Tea and not Coffee?

19. ( a) Number of terms in the expansion of $[X+\frac{1}{X}]^{20}$ is ______

(i) 19 (ii) 20 (iii) 21 (iv) 22

(b) Consider the expansion of $[3X^{2}-\frac{1}{X}]^{9}$. Find the coefficient of $X^{6}$ and the term independent of x.

20. (i) If the first three terms of an A.P. are x-1, x+1, 2x+3, then x is _______

(a)-2 (b) 0 (c)2 (d) 4

(ii) Find the sum of “n” terms of the sequence

1×2 + 2×3 + 2x + 3, then x is___

(iii) The nth term of a G.P. $5, -\frac{5}{2},\frac{5}{4},-\frac{5}{8}$, _______ is . Find the “n”

20. Find the coordinates of the focii vertices, eccentricity and the length of the Latus Rectum of the ellipse $100X^{2} + 25Y^{2}=2500$.

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