TS EAMCET · Maths · Straight Lines
If the perpendicular drawn from the point \((2,-3)\) to the straight line \(4 x-3 y+8=0\) meets it at \(\mathrm{M}(a, b)\) and \(a^3-b^3=\mathrm{k}^3\), then \(\mathrm{k}=\)
- A 1
- B -1
- C 2
- D -2
Answer & Solution
Correct Answer
(D) -2
Step-by-step Solution
Detailed explanation
\(m_{line} = \frac{4}{3}\) \(m_{\perp} = -\frac{3}{4}\) Equation of perpendicular: \(y - (-3) = -\frac{3}{4}(x - 2) \implies 3x + 4y + 6 = 0\) System of equations: \(4x - 3y + 8 = 0\) \(3x + 4y + 6 = 0\) Multiply first by 4, second by 3: \(16x - 12y + 32 = 0\)…
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
- If thenTS EAMCET 2021 Easy
- In \(\triangle A B C\), if \(r_1=2 r_2=3 r_3\), then \(b: c\) equalsTS EAMCET 2015 Medium
- For the value of does not lie in the intervalTS EAMCET 2021 Medium
- \(A=\left[a_{i j}\right]\) is a \(3 \times 3\) matrix with positive integers as its elements. Elements of A are such that the sum of all the elements of each row is equal to 6 and \(a_{22}=2\).
If \(a_{i i}=\left\{\begin{array}{ll}a_{i j}+a_{j i}, & j=i+1 \text { when } i \lt 3 \\ a_{i j}+a_{j i}, & j=4-i \text { when } i=3\end{array}\right.\) for \(i=1,2,3\), then \(|A|=\)TS EAMCET 2024 Easy - If \(\omega \neq 1\) is a cube root of unity, then one root among the \(7^{\text {th }}\) roots of \((1+\omega)\) isTS EAMCET 2025 Medium
- If \(\sin \theta+\cos \theta=p\) and \(\sin ^3 \theta+\cos ^3 \theta=q\), then \(p\left(p^2-3\right)\) is equal toTS EAMCET 2013 Medium
More PYQs from TS EAMCET
- If \(\frac{x^5-5}{x^3+x^2}=f(x)+\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+1}\), then the larger value of \(K\) for which \(f(K)+A+B+C=1\), isTS EAMCET 2020 Medium
- A screen is placed from an object. The image is formed by using a convex lens twice on the screen by putting the lens at two different locations separated by The focal length of the lens is approximately equal to:TS EAMCET 2021 Hard
- The correct option for the first ionisation enthalpy (in \(\mathrm{kJ} \mathrm{mol}^{-1}\) ) of \(\mathrm{Li}, \mathrm{Na}, \mathrm{K}\) and \(\mathrm{Cs}\) respectively isTS EAMCET 2018 Easy
- The equation of the locus of \(z\) such that \(\left|\frac{z-i}{z+i}\right|=2\), where \(z=x+i y\) is a complex number, isTS EAMCET 2006 Hard
- For a molecular formula of \(\mathrm{C}_6 \mathrm{H}_{10}\) of an alkyne series, the number of possible branched isomers isTS EAMCET 2021 Medium
- If \(540^{\circ} < \theta < 630^{\circ}\) and \(\tan \theta=\) \(\frac{5}{12}\), then \(\frac{\cos \frac{\theta}{2}-5 \sin \frac{\theta}{2}}{\sqrt{-(12 \sec \theta+5 \operatorname{cosec} \theta)}}=\)TS EAMCET 2023 Medium