TS EAMCET · Maths · Matrices
Let \(\alpha, \beta, \gamma\) be real numbers. If
\(\left(\begin{array}{ccc}7 & 5 & \alpha \\ \beta & 2 & 11 \\ 3 & \gamma & 1\end{array}\right)\left(\begin{array}{l}1 \\ 3 \\ 2\end{array}\right)=\left(\begin{array}{c}\alpha+\beta \\ -2 \alpha+\beta-2 \gamma \\ \alpha+2 \beta+3 \gamma\end{array}\right)\) then \(100+\frac{2 \alpha+11 \beta}{\gamma}=\)
- A 27
- B -25
- C 225
- D -227
Answer & Solution
Correct Answer
(A) 27
Step-by-step Solution
Detailed explanation
We have \(\left[\begin{array}{ccc}7 & 5 & \lambda \\ \beta & 2 & 11 \\ 3 & \gamma & 1\end{array}\right]\left[\begin{array}{l}1 \\ 3 \\ 2\end{array}\right]=\left[\begin{array}{c}\alpha+\beta \\ -2 \alpha+\beta-2 \gamma \\ \alpha+2 \beta+3 \gamma\end{array}\right]\) On solving we…
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
- \(\lim _{n \rightarrow \infty}\left[\left(1+\frac{1}{n^2}\right)\left(1+\frac{4}{n^2}\right)\left(1+\frac{9}{n^2}\right) \ldots(2)\right]^{1 / n}=\)TS EAMCET 2024 Medium
- Dividing the interval \([0,6]\) into 6 equal parts and by using trapezoidal rule the value of \(\int_0^6 x^3 d x\) is approximately :TS EAMCET 2006 Medium
- Assertion (A) The lines \(2 x^2+5 x y+2 y^2=0\) and \(x-2 y+1=0\) form a right angled triangle. Reason (R) The equation \(a x^2+2 h x y+b y^2=0\) represents a pair of perpendicular lines if \(a+b=0\) Then choose the correct answerTS EAMCET 2019 Medium
- The condition that the roots of \(x^3-b x^2+c x-d=0\) are in geometric progression isTS EAMCET 2010 Easy
- Let \(f: R \rightarrow R\) be defined by \(f\left(\frac{x+y}{2}\right)=\frac{f(x)+f(y)}{2}\) for all \(x\) and \(y\). If \(f^{\prime}(0)\) exists and equals -1 and \(f(0)=1\), then \(f(2)=\)TS EAMCET 2020 Easy
- Let \(f: R \rightarrow R\) be a bijection. \(A\) curve represented by \(y=f(x)\) is such that \(f^{\prime}(x)>0 \forall x \in \mathbf{R}\). The tangent and normal drawn at \(P(\alpha, 1)\) on the curve cuts the \(X\)-axis at \(A, B\) respectively and \(C\) is the foot of the perpendicular from \(P\) onto the \(X\)-axis. If \(P(\alpha, \mathrm{l})\) is such a point that \(A C+C B\) is minimum, then the tangent at \(P\) is parallel to the lineTS EAMCET 2020 Hard
More PYQs from TS EAMCET
- What will be the symbol and name for the element with atomic number ?TS EAMCET 2020 Medium
- In Young's double slit experiment, first slit has width four times the width of the second slit. the ratio of the maximum intensity to the minimum intensity in the interference fringe system is :TS EAMCET 2006 Easy
- Reactions that produce \(n\)-butanol in the following are :
TS EAMCET 2020 Medium - Match the following (Take the relative strength of the strongest fundamental forces in nature as one)
The correct match isTS EAMCET 2014 Easy - When the origin is shifted to \((1,-2)\) by translation of coordinate axes, the transformed coordinates of \((3,-2)\) are \((\alpha, \beta)\). If the axes are rotated about origin through an angle of \(45^{\circ}\) after the translation, then the transformed coordinates of \((\alpha, \beta)\) areTS EAMCET 2019 Easy
- Which of the following relations is correct, if the wavelength is equal to the distance travelled by the electron in one second?
is the planck's constant and is the mass of electronTS EAMCET 2021 Easy