# Category Archives: Class 11

Question 1. Find the mean, variance and standard deviation for the following data: (i) 2, 4, 5, 6, 8, 17 (ii) 6, 7, 10, 12,… Read More
Prove the following identities (1 – 13) Question 1. sec4θ – sec2θ = tan4θ + tan2θ   Solution: We have sec4θ – sec2θ = tan4θ… Read More
Chapter 10 Straight Lines – Exercise 10.2 | Set 1 Question 11. A line perpendicular to the line segment joining the points (1, 0) and… Read More
Question 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5), and (– 4, –2). Also,… Read More
Find the sum to n terms of each of the series in Exercises 1 to 7. Question 1. 1 × 2 + 2 × 3… Read More
Question 1. Calculate the mean and S.D. for the following data: Expenditure (in ₹): 0-10 10-20 20-30 30-40 40-50 Frequency: 14 13 27 21 15… Read More
In Exercises 1 to 8, find the equation of the line which satisfy the given conditions: Question 1. Write the equations for the x-and y-axes.… Read More
Find the mean and variance for each of the data in Exercise 1 to 5. Question 1. 6, 7, 10, 12, 13, 4, 8, 12… Read More
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus… Read More
Question 1. Find the square root of the following complex numbers. (i) – 5 + 12i (ii) -7 – 24i (iii) 1 – i (iv)… Read More
Question 14. Prove that  Solution: We have Taking LHS =  =  =  =  =  =  = sin2θcos2θ Hence, LHS = RHS (Proved) Question 15. Prove… Read More
Solve the following system of inequalities graphically: Question 1: x ≥ 3, y ≥ 2  Solution: For equation 1: Now draw a solid line x… Read More
Question 1: Find the values of α so that the point P(α2, α) lies inside or on the triangle formed by the lines x –… Read More
In mathematics, the slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the… Read More
Question 1. Evaluate the following: i) 14C3 Solution: We know that    nCr=n!/(n-r)!r! =>14C3=14!/(14-3)!3!             =14!/11!3!        … Read More