NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1 is based on following concepts:

Complex Numbers
Algebra of Complex Number
Modulus and the Conjugate of a Complex Number

Download PDF NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1

Check out the solutions of Class 11 Maths NCERT solutions Chapter Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1

Read More: NCERT Solutions For Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

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CBSE CLASS XII Related Questions

1.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).
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2.
Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]
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3.
Obtain the value of \[ \Delta = \begin{vmatrix} 1 + x & 1 & 1 \\ 1 & 1 + y & 1 \\ 1 & 1 & 1 + z \end{vmatrix} \] in terms of \(x, y, z\). Further, if \(\Delta = 0\) and \(x, y, z\) are non–zero real numbers, prove that \[ x^{-1} + y^{-1} + z^{-1} = -1 \]
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4.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following:

(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).
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Find the sub–interval of \((0,\pi)\) in which the function \[ f(x)=\tan^{-1}(\sin x-\cos x) \] is increasing and decreasing.
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6.
Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]
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Similar Mathematics Concepts

Complex Numbers and Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 5: Complex Numbers and Quadratic Equations

Complex Numbers & Quadratic Equations Important Questions

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.2

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3

NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

Complex Numbers and Quadratic Equations MCQs

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