Given the matrix \( \mathbf{A}=\left[\begin{array}{ccc}-1 & 3 & 5 \\ 1 & -3 & -5 \\ -1 & 3 & 5\e...
Given the matrix \( \mathbf{A}=\left[\begin{array}{ccc}-1 & 3 & 5 \\ 1 & -3 & -5 \\ -1 & 3 & 5\end{array}\right] \) and \( \mathbf{X} \) be the solution set of the equation \( \mathbf{A}^{\times}=\mathbf{A} \), where \( \mathbf{x} \in \mathbf{N}-\{1\} \). Evaluate \( \Pi \frac{\mathbf{x}^{3}+1}{\mathrm{x}^{3}-1} \); where the continued product extends \( \forall \mathbf{x} \in \mathbf{X} \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2022-11-07 | Find the equation of chord of ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) whose mid point ... |
| 2022-11-07 | If two tangents to the parabola \( y^{2}=4 a x \) from a point \( P \) make angles \( \theta_{1}... |
| 2022-11-07 | Chords of the hyperbola, \( x^{2}-y^{2}=a^{2} \) touch the parabola, \( y^{2}=4 \) ax. Prove tha... |
| 2022-11-07 | If two tangents to the parabola \( \mathrm{y}^{2}=4 \mathrm{ax} \) from a point \( \mathrm{P} \)... |
| 2022-11-07 | Prove that the straight line \( \ell \mathrm{x}+\mathrm{my}+\mathrm{n}=0 \) touches the parabola... |
| 2022-11-07 | A parabola \( y=a x^{2}+b x+c \) crosses the \( x \)-axis at \( (\alpha, 0)(\beta, 0) \) both to... |
| 2022-11-07 | Find the equation of that tangent to the parabola \( y^{2}=7 x \) which is parallel to the strai... |
| 2022-11-07 | Chord joining two distinct points \( P\left(\alpha^{2}, k_{1}\right) \) and \( Q\left(k_{2},-\fr... |
| 2022-11-07 | Two perpendicular chords are drawn from the origin 'O' to the parabola \( y=x^{2} \), which meet... |
| 2022-11-07 | Find the locus of the mid-points of the chords of the parabola \( y^{2}=4 a x \) which subtend a... |
| 2022-11-07 | Given the matrix \( \mathbf{A}=\left[\begin{array}{ccc}-1 & 3 & 5 \\ 1 & -3 & -5 \\ -1 & 3 & 5\e... |
| 2022-11-07 | If the foci of the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{b^{2}}=1 \& \) the hyperbola \( \fra... |
| 2022-11-07 | If \( D=\operatorname{diag}\left\{d_{1}, d_{2}, \ldots \ldots . ., d_{n}\right\} \), then prove ... |
| 2022-11-07 | Prove that the distance of the point \( (\sqrt{6} \cos \theta, \sqrt{2} \sin \theta) \) on the e... |
| 2022-11-07 | Find the eccentricity of the ellipse which meets the straight line \( 2 x-3 y=6 \) on the \( x \... |
| 2022-11-07 | Find the equation of the ellipse whose foci are \( (2,3),(-2,3) \) and whose semi-minor axis is ... |
| 2022-11-07 | Given the base of a triangle and the ratio of the tangent of half the base angles. Show that the... |
| 2022-11-07 | If a circle be drawn so as always to touch a given straight line and also a given circle externa... |
| 2022-11-07 | Let \( \mathbf{A}, \mathbf{B}, \mathbf{C} \) be three \( 3 \times 3 \) matrices with real entrie... |
| 2022-11-07 | If \( y=\frac{u}{v} \), where \( u \& v \) are functions of ' \( x \) ', show that, \( v^{3} \fr... |
| 2022-11-07 | Prove that \( \Delta=\left|\begin{array}{ccc}\beta \gamma & \beta \gamma^{\prime}+\beta^{\prime}... |
0