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Straight Lines Advanced Problems Set-1
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This lesson takes up advanced problems in jee main and advanced

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
💥IITian | Top Educator 💥All Maths Chapters Complete & FREE 💥10+ Years Experience 💥Youtube: Maths Wallah 💥DPPs @ vineetloomba.com

U
Unacademy user
thanks a lot sir ,its incredible ....
sir are these questions based on mains level or on advanced level
Vineet Loomba
10 months ago
It is mixed .. straight lines is eady topic ...so u might find them easy
Ansh Bhatia
10 months ago
Alright sir!! I was actually focusing on mains part first that's why? is there any course of yours which focus on mains/bitsat important questions or this course is fine?
Vineet Loomba
10 months ago
U cannuse these courses ..all courses are relevant for mains ... Just skip the topic where i say specifically for jee avanced
Ansh Bhatia
10 months ago
Fine sir!! Thank you
  1. STRAIGHT LINES MOST IMPORTANT QUESTIONS JEE MAIN RANK BOOSTER COURSE PREPARED BY: ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR


  2. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee -$ IIT-JEE Mentor Since 2010. Youtube Channel with 10k Active Followers & Founder @ vineetloomba.com * Follow me @ https://unacademy.com/user/vineetloomba to get unacademy updates or search me on Google * Share among your peers as SHARING is CARING!!


  3. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Other Detailed Courses Made so far on Unacademv: V Strategy for JEE Main and Advanced V Sets, Relations and Functions V Trigonometry V Applications of Derivatives Limits, Continuity. Differentiability V Indefinite Integration Definite Integration Complex Number V Logarithmic Functions V Sequences Series V Most Important Questions in IIT-JEE Permutations Combinations Binomial Theorem V Straight Lines V Applications of Integrals MathematicS V Parabola (Detailed Course) v Inverse Trigonometry V Mathematical Reasoning V Ellipse (Detailed Course) V Hyperbola V Differential Equations Circles (Detailed Course) V Probability Upcoming Courses next month: Coordinate Geometry > Differential Equations ER. VINEET LOOMBA (IIT RooRKee) MATHEMATICS FOR IIT-I


  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) IfA (1, p2);B (0, 1) and C (p, 0) are the coordinates of three points then the value of p for which the area of the triangle ABC is minimum, is Ex (D) none or- 1 p 1 [S A0(1 0)+p(p (p3 -p+1) Hence A=-1p3-p+11 Now, minimum value of modulus is zero. Since A (p) is a cubic it must vanish for some p other than given as A, B,C - (D)] SUCCESS IN EE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEe)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) A graph is defined in polar co-ordinates as r(0)-cos +-. The smallest x-coordinates of any point on the graph is Ex. 16 4 [Sol. x-coordinate r cos (cos +-) cos cos 416 Hence smallest is - Ans. 16 SUCCESS IN EE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEe)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) What is the y-intercept of the line that is parallel to y 3x, and which bisects the area of a rectangle with corners at (0, 0), (4, 0), (4, 2) and (0, 2)? Ex [Sol. Area of OADE = Area of ABCD since Area of ADD' Area of 'DA so area of rectangle AA'OE Area of rectangle D'DCB 4-h,-h y-3x+b (h22) 2-0 H0,2 C(4,2) AD h, -h (0,0)A D' (4,0) 2 10 -4- (hl,0) (h2,0) from (1) and (2) 2h, Equation of line AD is y-0-3 | x put x-0, get y--5 (0,-5) Ans. ] SUCCESS IN EE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEe)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Given - and ax by 1 are two variable lines, 'a' and 'b' being the parameters connected by the relation ab2 ab The locus of the point of intersection has the equation (A") x2 + y2 + xy-1-0 (C) x2 + y2 + xy + 1-0 Ex (B) x2 + y2-xy + 1-0 (D) x2 + y2- -1-0 [So et (h, k) be point of intersection then given a +b-ab ah kb1 multiply h2+k2+hk(0+4)-1 SUCCESS IN EE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEe)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. A ray of light passing through the point A(1, 2) is reflected at a point B on the x - axis and then passes through (5, 3). Then the equation of AB is (A*) 5x + 4y 13 (C) 4x + 5y 14 (B) 5x - 4y-3 (D) 4x - 5y6 13 N (5, 3) Hint A(1, 2 (a, 0) SUCCESS IN EE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEe)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) -0, where 2 + -2, If the lines x + y + 1-0 ; 4x + 3y + 4-0 and x + y are concurrent then (A) -1, --1 Ex. (B) -1,p- 1 [Sol. Lines are x+y+1-0; 4x +3y +4-0 and x + y+ 0, where 2+p2-2 4 3 4 0 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)


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