# Tag Archives: RD Sharma Class-11

Question 1. Find the equation to the straight line : (1) Cutting off intercepts 3 and 2 from the axes  Solution Given that, a =… Read More
Question 11. Find the equation to the straight line which passes through the point (-4, 3) and is such that the portion of it between… Read More
Question 14.  Limn→∞{12 + 22 + ……………. + n2}/(n3) Solution: We have, Limn→∞{12 + 22 + ……………. + n2}/(n3) = Limn→∞[n(n+1)(2n+1)]/6n3 = Limn→∞[(n+1)(2n+1)]/6n2 = When… Read More
Question 1. Limx→∞{(3x – 1)(4x – 2)}/{(x + 8)(x – 1)}. Solution: We have, Limx→∞{(3x – 1)(4x – 2)}/{(x + 8)(x – 1)} =  = … Read More
Question 1. Find f + g, f – g, cf (c ∈ R, c ≠ 0), fg, 1/f and f/g in each of the following:… Read More
Question 1. Find the locus of a point equidistant from the point (2, 4) and the y-axis. Solution: Let C (a, b) be any point… Read More
Question 13. Prove that the tetrahedron with vertices at points O(0,0,0), A(0,1,1), B(1,0,1) and C(1,1,0) is a regular one. Solution: Given: The points O(0,0,0), A(0,1,1),… Read More
Question 1. Find the distance between the following pairs of points: (i) P(1, −1, 0) and Q (2, 1, 2) Solution: Given: The points P(1,… Read More
Question 1. Express the following complex numbers in the standard form a + ib: (i) (1 + i) (1 + 2i) Solution: We have, z… Read More
Question 1. Differentiate each of the following using first principles: (i) 2/x  Solution: Given that f(x) = 2/x By using the formula f'(x) =  We… Read More
Question 3. Differentiate each of the following using first principles: (i) xsinx Solution: Given that f(x) = xsinx By using the formula We get = … Read More
Question 1. Find the domain of each of the following real valued functions of real variable: (i) f (x) = 1/x  Solution: We are given,… Read More
Question 14. If, find (a, b). Solution: We have, => => => => => (−i)100 = a + ib => a + ib = 1… Read More
Question 1. Find the distance of the point (4, 5) from the straight line 3x – 5y + 7 = 0 Solution: From question, we… Read More
Question 32. limx→0[{sin(a + x) + sin(a – x) – 2sina}/(xsinx)] Solution: We have, limx→0[{sin(a + x) + sin(a – x) – 2sina}/(xsinx)] =  =… Read More