TS EAMCET · Maths · Straight Lines
The equation of a straight line passing through the point \((1,2)\) and inclined at \(45^{\circ}\) to the line \(y=2 x+1\) is
- A \(5 x+y=7\)
- B \(3 x+y=5\)
- C \(x+y=3\)
- D \(x-y+1=0\)
Answer & Solution
Correct Answer
(B) \(3 x+y=5\)
Step-by-step Solution
Detailed explanation
Let required equation of line is \(y=m x+c\) Since, angle between \(y=m x+c\) and \(y=2 x+1\) is \(\tan 45^{\circ}\)…
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 mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively. Later on it was found that one of the observations was taken as 50 in the place of 40 . If the wrong entry is replaced by the correct one, then the sum of the squares of all the observations isTS EAMCET 2023 Medium
- If the function satisfies all the conditions of the Rolle's theorem in then a root of isTS EAMCET 2021 Easy
- If where thenTS EAMCET 2021 Easy
- Match the items of List-I with those of List-II

Then, which of the following is correct?
TS EAMCET 2018 Medium - The value of is equal toTS EAMCET 2020 Medium
- If \(P=\left|\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right|\) is the adjoint of a \(3 \times 3\) matrix \(A\) and \(\operatorname{det}(A)=4\), then \(\alpha\) is equal toTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- In a \(\triangle A B C\), if \(a=5, b=6, c=7\), then the length of the median drawn from \(B\) isTS EAMCET 2018 Easy
- The length of a metal wire is found to be \(L_1\) and \(L_2\) when the tension of \(T_1\) and \(T_2\) are applied to it respectively. The natural length of the wire isTS EAMCET 2020 Easy
- A given mass of a gas is compressed isothermally until its pressure is doubled. It is then allowed to expand adiabatically until its original volume is restored and its pressure is then found to be 0.75 of its initial pressure. The ratio of the specific heats of the gas is approximately :TS EAMCET 2006 Easy
- If the angle between a pair of tangents drawn from a point \(P\) to the circle \(x^2+y^2-4 x+2 y+3=0\) is \(\frac{\pi}{2}\) then, the locus of \(P\) isTS EAMCET 2019 Easy
- \(1+(1+3)+(1+3+5)+(1+3+5+7)+\ldots\) to 10 terms \(=\)TS EAMCET 2025 Medium
- The centroid of a triangle with vertices and is thenTS EAMCET 2021 Medium