Mathematics · 2026
JEE Main · 23 January 2026, Shift 2 · Q23
If the image of the point P (a, 2, a) in the line x/2=(y+a)/1=z/1 is Q and the image of Q in the line (x-2 b)/2=(y-a)/1=(z+2 b)/-5 is P, then a+b is…
If the image of the point $\displaystyle \mathrm{P}(a, 2, a)$ in the line $\displaystyle \frac{x}{2}=\frac{y+a}{1}=\frac{z}{1}$ is Q and the image of Q in the line $\displaystyle \frac{x-2 b}{2}=\frac{y-a}{1}=\frac{z+2 b}{-5}$ is P , then $\displaystyle a+b$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
3
More from 3D Geometry
- Let a triangle PQR be such that P and Q lie on the line (x+3)/8=(y-4)/2=(z+1)/2 and are at a distance of 6 units from R (1, 2, 3). If (α, β, γ) is…2026
- If the distance of the point (a, 2, 5) from the image of the point (1, 2, 7) in the line x/1=(y-1)/1=(z-2)/2 is 4, then the sum of all possible…2026
- Let a line L be perpendicular to both the lines L_1: (x+1)/3=(y+3)/5=(z+5)/7 and L_2: (x-2)/1=(y-4)/4=(z-6)/7. If θ is the acute angle between the…2026
- Let the image of the point P(0,-5,0) in the line (x-1)/2=y/1=(z+1)/-2 be the point R and the image of the point Q(0, -1/2, 0) in the line…2026
- Let a line L_1 pass through the origin and be perpendicular to the lines L_2: r=(3+t) i+(2 t-1) j+(2 t+4) k and L_3: r=(3+2 s) i+(3+2 s) j+(2+s) k,…2026
- Let the foot of perpendicular from the point (λ, 2,3) on the line (x-4)/1=(y-9)/2=(z-5)/1 be the point (1, μ, 2). Then the distance between the lines…2026
- Let the image of the point P(1,6, a) in the line L: x/1=(y-1)/2=(z-a+1)/b, b>0, be (a/3, 0, a+c). If S(α, β, γ), α>0, is the point on L such that the…2026
- If (2 α+1, α^2-3 α, (α-1)/2) is the image of (α, 2 α, 1) in the line (x-2)/3=(y-1)/2=z/1, then the possible value(s) of α is (are)2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.