TS EAMCET · Maths · Straight Lines
If the points \((1,2)\) and \((3,4)\) lie on the same side of the straight line \(3 x-5 y+a=0\), then \(a\) lies in the set
- A \([7,11]\)
- B \(\mathbb{R}-[7,11]\)
- C \([7, \infty)\)
- D \((-\infty, 11]\)
Answer & Solution
Correct Answer
(A) \([7,11]\)
Step-by-step Solution
Detailed explanation
Since, the points \((1,2)\) and \((3,4)\) lie on the same side of the line \(3 x-5 y+a=0\)…
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
- Fог \(\theta \in\left(0, \frac{\pi}{2}\right)\), \(\operatorname{sech}^{-1}(\cos \theta)\) is equal toTS EAMCET 2016 Medium
- For scalars \(\lambda, \mu\) if the vector equation of a plane is \(\mathbf{r}=(2+3 \lambda-\mu) \hat{\mathbf{i}}+(1-2 \lambda+3 \mu) \hat{\mathbf{j}}+(-2+2 \lambda+\mu) \hat{\mathbf{k}}\), then its Cartesian equation isTS EAMCET 2020 Easy
- If is a vector perpendicular to both the vectors and and satisfy , thenTS EAMCET 2021 Easy
- Let be the roots of the equation and . ThenTS EAMCET 2020 Easy
- If the system of equations \(x+y+z=1\), \(x+2 y+4 z=k\) and \(x+4 y+10 z=k^2\) is consistent, then \(k\) is equal toTS EAMCET 2021 Easy
- \(\int \frac{y^2+\sqrt[3]{y^4}+\sqrt[6]{y^2}}{y\left(1+\sqrt[3]{y^2}\right)} d y=\)TS EAMCET 2020 Medium
More PYQs from TS EAMCET
- If \(z=\log (\tan x+\tan y)\), then \((\sin 2 x) \frac{\partial z}{\partial x}+(\sin 2 y) \frac{\partial z}{\partial y}\) is equal toTS EAMCET 2007 Easy
- If the magnitudes of \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{a}+\mathbf{b}\) are respectively 3,4 and 5 , then the magnitude of \((\mathbf{a}-\mathbf{b})\) isTS EAMCET 2017 Easy
- In Fischer-Ringe's method of separation of nobles gas mixture from air ............. is usedTS EAMCET 2005 Medium
- Assertion (A): Graphite is used as a dry lubricant in machines which run at high temperatures Reason (R): The layers of graphite slip one over the other when pressure is applied The correct option among the following isTS EAMCET 2023 Medium
- Two convex lenses of focal lengths \(20 \mathrm{~cm}\) and \(30 \mathrm{~cm}\) are placed in contact with each other co-axially. The focal length of the combination isTS EAMCET 2023 Easy
- If \(\vec{a}=\hat{i}+2 \hat{j}+\hat{k}, \vec{b}=3(\hat{i}-\hat{j}+\hat{k})\) and \(\vec{c}\) is a vector such that \(\vec{a} \times \vec{c}=\vec{b}\) and \(\vec{a} \cdot \vec{c}=3\), then \(\vec{a} \cdot(\vec{c} \times \vec{b}-\vec{b}-\vec{c})=\)TS EAMCET 2024 Easy