Download free Class 11 chapter-wise NCERT solutions, textbook answers, sample question papers, syllabus, and study notes.
[mathjax] Question 1 Three numbers are in A.P. Their sum is 27 and the sum of their squares is 275. Find the numbers. Sol : Let the three numbers are in AP = a, a + d, a + 2d According to the...
[mathjax] Question 1 Divide 12 into two parts such that their product is 32. Sol : Let the first number be ‘X’, so the other number will be ’(12–X)’. ∵ X (12 – X) = 32 12X – X 2 = 32 X 2 – 12X + 32 =...
[mathjax] Question 1 A Check whether the following are quadratic equations: (x − 2) (x + 1) = (x − 1) (x + 3) Sol : Given; (x − 2) (x + 1) = (x − 1) (x + 3) ⇒ x 2 + x − 2x − 2 = x 2 + 3x − x − 3 ⇒ x...
[mathjax] Question 1 A Which of the following is a quadratic polynomial? (i) 2 - 13x 2 (ii) x+ 1x√ (iii) x+ 1x (iv) x 2 +3 x−−√+2 Sol : (i) On solving the equations, 2−13x2 Re-writing in the format...
[mathjax] Question 1 The following distribution gives the daily income of 50 workers of a factory: Daily income (in Rs) 100-120 120-140 140-160 160-180 180-200 Number of workers 12 14 8 6 10 Convert...
[mathjax] Question 1 Find the median of the following data: Sol : Median $=$ size of $\frac{(\text { cumulative frequency }+1)^{\text {th }}}{2}$ item or $\frac{(n+1)^{t h}}{2}$ Median...
[mathjax] Question 1 Find mode of the following data: 64, 61, 62, 62, 63, 61, 63, 64, 64, 60, 65, 63, 64, 65, 66, 64 Sol : Here, we can see that 64 observation has the maximum frequency. Hence, Mode...
[mathjax] Question 1 Sides of some triangles are given below. Determine which of them are right triangles (i) 8 cm, 15 cm, 17 cm (ii) (2a —1) cm, 22–√ cm and (2a + 1) cm (iii) 7 cm, 24 cm, 25 cm (iv)...
[mathjax] Question 1 In two similar triangles ABC and DEF, AC = 3 cm and DF = 5 cm. Find the ratio of the areas of the two triangles. Sol : Given: ΔABC ~ ΔDEF and AC = 3 cm and DF = 5 cm To find:...
[mathjax] Question 1 State which of the following pairs of triangles are similar. Write the similarity criterion used and write the pairs of similar triangles in symbolic form (all lengths of sides...
[mathjax] Question 1 From the given figure, find the value of the following: (i) sin C (ii) sin A (iii) cos C (iv) cos A (v) tan C (vi) tan A Sol : (i) Sin C We know that, $\sin \theta=\frac{\text {...
[mathjax] Question 1 A Using Euclid’s division algorithm, find the HCF of 156 and 504 Sol : Given numbers are 156 and 504 Here, 504 > 156 So, we divide 504 by 156 By using Euclid’s division lemma...
[mathjax] Question 1 A Express each of the following numbers as a product of its prime factors: Sol : Given number is 4320 Factorization of 4320 is $\begin{array}{l|l}2 & 4320 \\\hline 2 & 2160...
[mathjax] Question 1 A Solve the following pair of linear equations by substitution method: 7x— 15y = 2 x + 2y = 3 Sol : Given equations are 7x – 15y = 2 …(i) x + 2y = 3 …(ii) From eq n (ii), x = 3 –...
[mathjax] Question 3 Present age of father is 30 years more than twice that of his son. After 10 years, the age of father will be thrice the age of his son. Represent this situation algebraically and...
[mathjax] Question 1 Examine, seeing the graph of the polynomials given below, whether they are a linear or quadratic polynomial or neither linear nor quadratic polynomial: (i) Sol : (i) In general,...
[mathjax] Question 1 C Without actually performing the long division, state whether the following rational numbers have terminating or non-terminating repeating (recurring) decimal expansion....
KC Sinha Class 9 Solutions is provided here. Mathematics is a subject that can be challenging for many students, and it’s not uncommon to feel overwhelmed or frustrated when trying to solve complex...
[mathjax] EXERCISE 9.1 Type 1 QUESTION 1 Fill up the blanks so that the statement becomes true: (i) If two sides of one triangle and their __ angle are equal to the corresponding two sides and their...
[mathjax] EXERCISE 10.1 Type 1 QUESTION 1 Fill in the blanks: (i) A parallelogram will be a rhombus, if and only if its ___are Perpendicular to each other. (ii) A quadrilateral will be a...