NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.5

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.5 is given in this article. Chapter 6 Exercise 6.5 includes questions that deal with concepts of maxima and minima and maximum and Minimum Values of a Function in a Closed Interval.

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Check out the Class 12 Maths NCERT solutions chapter 6 Exercise 6.5:

Check out other exercise solutions of Class 12 Maths Chapter 6 Applications of Derivatives:

Class 12 Chapter 6 Applications of Derivatives Topics:

Increasing Decreasing Functions	Tangents and Normals	Approximations
Linear Approximation Formula	Derivatives formula	Interpolation Formula
Lagrange Interpolation Formula	Newton Method Formula	Linear Interpolation Formula
Linear Regression Formula	Differential Calculus approximation	Continuity and Differentiability

CBSE Class 12 Mathematics Study Guides:

Math Formula	Math MCQs	Calculus
NCERT Solutions for Class 12 Maths	Difference between in Maths	Math Study Notes
Mensuration	Algebra	Trigonometry

CBSE CLASS XII Related Questions

1.
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
(i) target is hit.
(ii) at least one shot misses the target.
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2.
Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]
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3.
Evaluate : \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{3}}(\sin|x|+\cos|x|)\,dx \]
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4.
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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5.
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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6.
If \[ P = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2 \end{bmatrix} \quad \text{and} \quad Q = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 1 & -1 & 5 \end{bmatrix} \] find \( QP \) and hence solve the following system of equations using matrix method:
\[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]
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