## Vineet Loomba is teaching live on Unacademy Plus

JEE MAIN RANK BoOSTER COURSE PREVIOUS YEAR QUESTIONS STRAIGHT LINES EE MAIN 2019 PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-IEE MENTOR

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. .,. Verified Star Educator @ Unacademy Youtuber. Founder @ vineetloomba.com unacademy Many of my students are pursuing courses in IITs, NITs etc. Search "vineet loomba unacademy on GOOGLE

JEE MAIN RANK BoOSTER COURSE PREVIOUS YEAR QUESTIONS STRAIGHT LINES EE MAIN 2019 PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-IEE MENTOR

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Other Detailed Courses Made so far on Unacademy: Strategy for JEE Main and Advanced Sets, Relations and Functions Trigonometry Applications of Derivatives Permutations Combinations Binomial Theorem Straight Lines Applications of Integrals Circles (Detailed Course) Probability Limits, Continuity, Differentiability Indefinite Integration ..#finite Into(Jtation Complex Number Logarithmic Functions Sequences Series Most Important Questions in IIT-JEE Mathematics Parabola (Detailed Course) Inverse Trigonometry Mathematical Reasoning Ellipse (Detailed Course) Hyperbola Differential Equations Upcoming Courses next month: Statistics Matrices Determinants MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) A (0, 2) Example Two vertices of a triangle are (0, 2) and (4, 3). If its orthocentre is at the origin, then its third vertex lies in which quadrant? (1) Fourth (3) First (JEE Main 2019) 0,0 (2) Third (4) Second B (4, 3) AH- A 8 3 3-2 2-o 3 -- option-u MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Two sides of a parallelogram are along the lines, x + y = 3 and x-y + 3 = 0. If its diagonals intersect at (2, 4) then one of its vertex is x- y 3F0 M (2,4) (2) (3, 5) JEE Main 2019) A (0, 3) x y 3 B 2 2 0 5 A (o,3) M (2,4) iven C (4,5) 2 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solving O 3,6) A nsoption-4 F 2 MATHEMATICS FOR IIT-IEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example A point P moves on the line 2x-3y + 4 = 0. If Q(1, 4) and R(3, -2) are fixed points, then the locus of the centroid of APQR is a line (IEE Main 2019) Let Centraid be (4,k) Parallel to y-axis (1) (3) With slope 3 (2) With slope 3 (4) Parallel to x-axis P(h, k) 3 G( , ) R(3,-2) Slope 3opHon-3 3 MATHEMATICS FOR IIT-IEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example If the line 3x + 4y-24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin-r B (0, 6) 6-r IS (JEE Main 2019) -r o(0,0) A (8, 0) -r 8 option- u MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the diagonal AD is: C (2, 5) (2) 3x 5y 13 0 (4) 5x - 3y 10 (3) 3x-5y + 7 0 (JEE Main 2019) (3, 4) yit 2 2. 2 2 2. Ans 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)

SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example If the straight line, 2x-3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, B), then B equals (JEE Main 2019) 35 1) 3 (2) -5 I5-7 ma- 35 (4) 3 (3) 5 3 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT ROORKEE)