Question:
A ray of light coming from (3, 1) incident on 2x + y = 6 and deflected ray passing through (7, 2). If equation of incident ray is ax + by + 1 = 0, then a2 + b2 + 3ab =
A ray of light coming from (3, 1) incident on 2x + y = 6 and deflected ray passing through (7, 2). If equation of incident ray is ax + by + 1 = 0, then a2 + b2 + 3ab =
Updated On: Feb 24, 2026
- \(\frac{11}{25}\)
- \(-\frac{11}{25}\)
- \(-\frac{3}{5}\)
- \(\frac{3}{5}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The Correct answer is option is (B) : \(-\frac{11}{25}\)
Was this answer helpful?
0
0
Top Questions on Distance of a Point From a Line
- If the image of the point \( P(1, 2, a) \) in the line \[ \frac{x - 6}{3} = \frac{y - 7}{2} = \frac{7 - z}{2} \] is \( Q(5, b, c) \), then \( a^2 + b^2 + c^2 \) is equal to
- JEE Main - 2026
- Mathematics
- Distance of a Point From a Line
- Find the point on the line \( \frac{x-1}{3} = \frac{y+1}{2} = \frac{z-4}{3} \) at a distance of \( \sqrt{2} \) units from the point \( (-1, -1, 2) \).
- CBSE CLASS XII - 2025
- Mathematics
- Distance of a Point From a Line
- Find the foot of the perpendicular drawn from the point \( (1, 1, 4) \) on the line \( \frac{x+2}{5} = \frac{y+1}{2} = \frac{z-4}{-3} \).
- CBSE CLASS XII - 2025
- Mathematics
- Distance of a Point From a Line
- Find the point on the line \( \frac{x-1}{3} = \frac{y+1}{2} = \frac{z-4}{3} \) at a distance of \( \sqrt{2} \) units from the point \( (-1, -1, 2) \).
- CBSE CLASS XII - 2025
- Mathematics
- Distance of a Point From a Line
- The distance of the point \( P(-3,4,5) \) from the yz-plane is:
- KCET - 2025
- Mathematics
- Distance of a Point From a Line
View More Questions
Questions Asked in JEE Main exam
- The unsaturated ether on acidic hydrolysis produces carbonyl compounds as shown below. Based on this, predict the solution/reagent that will help to distinguish "P" and "Q" obtained in the reaction.
- JEE Main - 2026
- Aldehydes And Ketones
- The value of
\[ \left(\frac{1}{3}+\frac{4}{7}\right) +\left(\frac{1}{3^2}+\frac{1}{3}\times\frac{4}{7}+\frac{4}{7^2}\right) +\left(\frac{1}{3^3}+\frac{1}{3^2}\times\frac{4}{7}+\frac{1}{3}\times\frac{4}{7^2}+\frac{4}{7^3}\right) +\cdots \text{ up to infinite terms is} \]
- JEE Main - 2026
- Integration
From the following, how many compounds contain at least one secondary alcohol?
- JEE Main - 2026
- Alcohols, Phenols and Ethers
- Read the following statements:
(B) Q has more dipole moment than P.
(C) In Q, C–Cl bond has double bond character.
(D) In Q, Cl is attached to sp$^2$ hybridised carbon but in P, Cl is attached to sp$^3$.
(E) In Q, C–Cl bond length is more due to repulsion between lone pair on chlorine and $\pi$ electron in aromatic ring.
- JEE Main - 2026
- Haloalkanes and Haloarenes
- Given below are two statements:
Statement I: The first ionization enthalpy of Cr is lower than that of Mn.
Statement II: The second and third ionization enthalpies of Cr are higher than those of Mn.
In the light of the above statements, choose the correct answer from the options given below:- JEE Main - 2026
- Periodic properties
View More Questions