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: Sep 14, 2024
- \(\frac{11}{25}\)
- \(-\frac{11}{25}\)
- \(-\frac{3}{5}\)
- \(\frac{3}{5}\)
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
- 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
- If a point $ P(x, y) $ satisfies the condition that its distance from the point $ (3, -2) $ is equal to its distance from the line $ y = 2x + 1 $, then the locus of point $ P $ is:
- BITSAT - 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
- Find the midpoint of the line segment joining the points (3, 4) and (7, -2).
- AP EAPCET - 2025
- Mathematics
- Distance of a Point From a Line
View More Questions
Questions Asked in JEE Main exam
- Among Sc, Ti, Mn and Co, calculate the spin-only magnetic moment in the \( +2 \) oxidation state of the metal having the highest heat of atomisation.
- JEE Main - 2025
- Magnetic moment
- Let \( S \) be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set \( S \), one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is:
- JEE Main - 2025
- Probability
- The variance of the numbers 8, 21, 34, 47, \dots, 320, is:
- JEE Main - 2025
- Arithmetic Progression and Variance
- Two water drops each of radius \( r \) coalesce to form a bigger drop. If \( T \) is the surface tension, the surface energy released in this process is:
- JEE Main - 2025
- Surface Tension
- Match List - I with List - II: List - I: (A) \( {[MnBr}_4]^{2-} \)
(B) \( {[FeF}_6]^{3-} \)
(C) \( {[Co(C}_2{O}_4)_3]^{3-} \)
(D) \( [Ni(CO)_4] \)
List - II: (I) \( d^2sp^3 \) & diamagnetic
(II) \( sp^2d^2 \) & paramagnetic
(III) \( sp^3 \) & diamagnetic
(IV) \( sp^3 \) & paramagnetic
Choose the correct answer from the options given below:- JEE Main - 2025
- Organic Chemistry
View More Questions