Straight Line (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

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Straight Line (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

Straight Line Question 21-31 (Part 3/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026.

"Straight Line (Part 3/3) JEE Main PYQ + Theory" by Prabhat Ranjan concludes the series with questions 21-31. This session provides a comprehensive review of straight-line concepts tailored for Class 11, 12, and JEE aspirants. Topics covered include the equation of lines, intersection points, and advanced properties of straight lines that are crucial for both JEE Main and Advanced. The video integrates JEE Main-specific PYQs, ensuring that students get ample practice while mastering the concepts. Perfect for students preparing for IIT JEE 2025, 2026, and board exams, the session also highlights shortcuts and tricks for efficient problem-solving.

All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video.

I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur.

Timeline:
00:00 Introduction
01:42 21) Let ABC be a triangle with A(-3,1) and ∠ACB=θ,0/θ/π/2. If the equation of the median through B is 2x+y-3=0 and the equation of the angle bisector of C is 7x-4y-1=0, then the tan θ is equal to
13:07 22) Let A be the set of all points (α,β) such that the area of triangle formed by the points (5,6),(3,2) and (α,β) is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is
20:04 23) Let the area of triangle with vertices A(1,α) B(α, 0) and C(0, α) be 4 sq. units. If the points (α, -α) (-α, α) and (α2, β) are collinear then β is equal to
25:08 24) A line, with the slope greater than one, passes through the point A(4,3) and intersects the line x-y-2=0 at the point B. If the length of the line segment AB is √29/3, then B also lies on the line
36:42 25) A point P moves so that the sum of squares of its distances from the point (1,2) and (-2,1) is 14. Let f(x,y)=0 be the locus of P, which intersects the x-axis at the points A,B and the y-axis at the points C, D. Then the area of the quadrilateral ABCD is equal to
45:06 26) Let A(α,-2),B(α,6) and C(α/4,-2) be vertices of a △ABC. If (5,α/4) is the circumcentre of △ABC, then which of the following is NOT correct about △ABC ? JEE Main 2022 (Online) 29th July Evening Shift A- area is 24 B- perimeter is 25 C- circumradius is 5 D- inradius is 2
52:55 27) If (α, b) is orthocentre of triangle ABC with vertices A(3, –7), B(–1, 2) , C(4, 5) 9α - 6β + 60 is
01:05:01 28) A man starts walking from the point P(-3,4), touches the x-axis at R, and then turns to reach at the point Q(0,2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then 50((PR)^2+(RQ)^2) is equal to
01:13:49 29) If the system of linear equations 2x - 3y = γ + 5, αx + 5y = ß +1, where α, ß, γ ∈ R has infinitely many solutions, then the value of |9α + 3ß + 5γl is equal to
01:20:24 30) The equation of the sides AB, BC and CA of a triangle ABC are : 2x+y=0, x+py=21a,(a≠0) and x-y=3 respectively. Let P(2,a) be the centroid of triangle ABC. Then (BC)^2 is equal to
1:29:52 31) A triangle is formed by X-axis, Y-axis and the line 3x+4y= 60. Then the number of points P(a,b) which lie strictly inside the triangle, where a is an integer and b is a multiple of a, is

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