NCERT Solutions for Class 11 Maths Chapter 10 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Miscellaneous Exercises are based on the following concepts:

Slope of a Line
Various Forms of the Equation of a Line
General Equation of a Line
Distance of a Point From a Line

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Chapter Related Topics
Horizontal and vertical lines	Analytical Geometry	Intercept
Slope Formula	Slope Intercept Form Formula	Point Gradient Formula
Perpendicular Line Formula	Point Slope Form Formula	Different Forms of Equation of Line

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Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.
2.
Smoking increases the risk of lung problems.
A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. If a person is selected at random from these 50 people
3.
A racing track is build around an elliptical ground whose equation is given by \( 9x^2 + 16y^2 = 144 \).The width of the track is 3 m as shown below :
4.
At a birthday party, children are being served orange juice in conical cups. Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0.1 cm\(^3\)/s.
5.
Roundabouts are often made on busy roads to ease the traffic and avoid red lights.
One such round-about is made such that the equation representing its boundary is given by \( C_1 : x^2 + y^2 = 64 \). There is a circular pond with a fountain in the middle of the roundabout whose equation is given by \( C_2 : x^2 + y^2 = 4 \). Based on the given information
6.
A survey was conducted on the patients who have undergone knee replacement surgeries. It was found that, Robotic Knee replacement surgeries have a 90% success rate. On a particular day, robotic surgery was performed on three patients, A, B and C, one after the other. Assuming that the success and failure of each surgery is independent of each other, find the probability that