Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.6 Question 1. Prove that liney = x+ touches ellipse 2×2 + 3y2 = 1. Also find the coordinates of tangent point. Solution: Question 2. Show that line x – 3y – 4 = 0 touches ellipse 3×2 + 4y2 = 20. Solution: Equation…
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Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.5 Question 1. Find the equation of ellipse whose : (i) Focus (- 1, 1), Directrix x – y + 4 = 0 and eccentricity is e – 1 / (ii) Focus (- 2,3), Directrix 3x + 4y = 1 and eccentricity is e…
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Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.2 Question 1. Find the point of intersection of circle x2 + y2 = 25 and line 4x + 3y = 12 and also find length of intersecting chord. Solution: Equation of circle, x2 + y2 = 25 …(i) Equation of line, 4x +…
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Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.4 Question 1. Find the coordinates of the points of intersection where straight line 4y + 3x + 6 = 0 cuts the parabola 2y2 = 9x. Solution: Equation of straight line, 4y + 3x + 6 = 0 ⇒ 3x = -4y –…
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Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.3 Question 1. Find the equation of parabola whose (i) Focus (2, 3) and directrix x – 4y + 3 = 0 (ii) Focus (- 3, 0) and directri x + 5 = 0 Solution: (i) Let P(h, k) is any point on parabola,…
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Rajasthan Board RBSE Class 11 Maths Chapter 12 Conic Section Ex 12.1 Question 1. Find the equation of the circle whose: (i) Centre (- 2, 3) and radius is 4 (ii) Centre (a, b) and radius is a – b Solution: (i) According to question, Centre of circle (h, k) = (- 2, 3) and…
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Rajasthan Board RBSE Class 11 Maths Chapter 11 Straight Line Miscellaneous Exercise Question 1. AB is a line joining the points A(2, -3) and B(-1, 5) Equation of line perpendicular to this line (A) y = 5 (B) x = 5 (C) x = -5 (D) y = -5 Solution: Equation of line parallel to…
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Rajasthan Board RBSE Class 11 Maths Chapter 11 Straight Line Ex 11.3 Question 1. Find the angle between the following straight lines : (i) y = (2 – ) x + 5 and y = (2 + ) x – 7 (ii) 2y – 3x + 5 = 0 and 4x + 5y + 8…
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Rajasthan Board RBSE Class 11 Maths Chapter 11 Straight Line Ex 11.2 Question 1. Convert the following equations in slope form and intercept form and find the value of constants used in standard form. (i) 7x – 13y = 15 (ii) 5x + 6y + 8 = 0 Solution: Question 2. Find the slope of…
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Rajasthan Board RBSE Class 11 Maths Chapter 11 Straight Line Ex 11.1 Question 1. Find the equation of straight line which is parallel to x-axis and (i) lie at a distance of 5 unit from origin (above origin) (ii) lie at a distance of 3 unit from origin (below origin) Solution: (i) Equation of line…
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