AP EAMCET · Maths · Matrices
The values of \(t\) such that the matrix \(\left(\begin{array}{ccc}1 & 3 & 2 \\ 2 & 5 & t \\ 4 & 7-t & -6\end{array}\right)\) has no inverse, are
- A 3, 2
- B 3, - 2
- C -3, 2
- D -3, -2
Answer & Solution
Correct Answer
(C) -3, 2
Step-by-step Solution
Detailed explanation
Let \(A=\left[\begin{array}{ccc}1 & 3 & 2 \\ 2 & 5 & t \\ 4 & 7-t & -6\end{array}\right]\) has no inverse…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The equation \((2 p-3) x^2+2 p x y-y^2=0\) represents a pair of distinct linesAP EAMCET 2025 Medium
- If the combined equation of the lines joining the origin to the points of intersection of the curve \(x^2+y^2-2 x-4 y+2=0\) and the line \(x+y-2=0\) is \(\left(l_1 x+m_1 y\right)\) \(\left(l_2 \mathrm{x}+\mathrm{m}_2 \mathrm{y}\right)=0\), then \(l_1+l_2+\mathrm{m}_1+\mathrm{m}_2=\)AP EAMCET 2025 Medium
- Let \(S(1,0)\) and \(S^{\prime}(0,1)\) be the foci of an eflipse such that \(\mathrm{SP}+\mathrm{S}^{\prime} \mathrm{P}=2\) for any point \(\mathrm{P}\) on the ellipse. If \(\mathrm{A}\left(\mathrm{x}_1, \mathrm{y}_1\right)\) and \(A^{\prime}\left(x_2, y_2\right)\) are the end points of the major axis of this ellipse, then \(x_1+x_2=\)AP EAMCET 2023 Medium
- For what values of \(x\), the following identity is valid and holds? tan \(\mathrm{h}^{-1}(x)=\frac{1}{2} \log _e\left(\frac{1+x}{1-x}\right)\).AP EAMCET 2021 Medium
- If \((1, a),(b, 2)\) are conjugate points with respect to the circle \(x^2+y^2=25\), then \(4 a+2 b=\)AP EAMCET 2020 Medium
- If and then the value ofAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- Let the transverse axis of a hyperbola \(\mathrm{H}\) be parallel to the \(X-\) axis and \(x^2+y^2-2 x-4 y+3=0\) be the equation of the auxiliary circle of \(\mathrm{H}\). If the asymptotes of \(\mathrm{H}\) are at right angles, then the equation of the hyperbola isAP EAMCET 2023 Medium
- For the gaseous reactions (I) and (II), the equilibrium constants are \(X\) and \(Y\) respectively.
I. \(\frac{1}{2} \mathrm{~N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons \mathrm{NO}_2(g)\)
II. \(2 \mathrm{NO}_2(g) \rightleftharpoons \mathrm{N}_2 \mathrm{O}_4(g)\)
Using the above reactions the equilibrium constant \(Z\) for the reaction (III) given below is
III. \(\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons \mathrm{N}_2(g)+2 \mathrm{O}_2(g)\)AP EAMCET 2018 Hard - The correct order of atomic radii of the elements \(\mathrm{O}, \mathrm{N}, \mathrm{S}\) and \(\mathrm{P}\) isAP EAMCET 2022 Easy
- If a normal drawn to the ellipse \(\frac{x^2}{4}+\frac{y^2}{3}=1\) touches the hyperbola \(\frac{x^2}{4}-\frac{y^2}{3}=1\), then the square of the slope of that normal isAP EAMCET 2023 Medium
- An electric motor exerts a force of \(50 \mathrm{~N}\) on a a cable and pulls it through \(60 \mathrm{~m}\) in \(1 \mathrm{~min}\). The power supplied by the motor isAP EAMCET 2020 Medium
- If the lines \(x+y-2=0,3 x-4 y+1=0\) and \(5 x+k y-7=0\) are concurrent at \((\alpha, \beta)\), then equation of the line concurrent with the given lines and perpendicular to \(\mathrm{kx}+\mathrm{y}-\mathrm{k}=0\) isAP EAMCET 2025 Medium