NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on following concepts:

Complex Numbers
Algebra of Complex Numbers
Modulus and the Conjugate of a Complex Number
Argand Plane and Polar Representation
Quadratic Equations

Download PDF NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises

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CBSE CLASS XII Related Questions

1.
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 :
2.
Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes.
The equation of a sports car racing track is given as: \( f(x) = \begin{cases x^4 - 4x^2 + 4, & 0 \leq x x^2 + 40, & x \geq 3 \end{cases} \). Based on this information}
3.
Two vertical light poles of height \(22 \text{ m}\) and \(16 \text{ m}\) stand on the opposite sides of a \(20 \text{ m}\) wide road. Two ladders of length \(l_1\) and \(l_2\) are placed from a common point \(R\) on the road at a distance of \(x \text{ m}\) from the smaller pole.
Based on the above information,
4.
The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed.
The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that
5.
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
6.
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