MEDIUM
JEE Main
IMPORTANT
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A ray of light along x+3y=3 gets reflected upon reaching X-axis, the equation of the reflected ray is

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Important Questions on Point and Straight Line

MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 7th April 2013>Q 78
The x-coordinate of the incentre of the triangle that has the coordinates of midpoints of its sides as 0,1, 1,1 and 1,0 is
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 7th April 2013>Q 79

The number of values of k, for which the system of equations :

k+1x+8y=4k

kx+k+3y=3k-1

has no solution, is :
HARD
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 24 June 2022 Shift 1>Q 80
Let A3a,a,a>0, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If D3cosθ,asinθ,  is a point in the fourth quadrant such that the maximum area of ∆ACD is 12 square units, then a is equal to _____
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 24 June 2022 Shift 2>Q 81
Let the area of the triangle with vertices A1,α,Bα,0 and C0,α be 4 sq. units. If the points α,-α,-α,α and α2,β are collinear, then β is equal to
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 25 June 2022 Shift 2>Q 82
A circle touches both the y-axis and the line x+y=0. Then the locus of its center is
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 26 June 2022 Shift 1>Q 83
Let R be the point 3,7 and let P and Q be two points on the line x+y=5 such that PQR is an equilateral triangle. Then the area of ∆PQR is
HARD
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 27 June 2022 Shift 1>Q 84
In an isosceles triangle ABC, the vertex A is 6,1 and the equation of the base BC is 2x+y=4. Let the point B lie on the line x+3y=7. If α,β is the centroid ∆ABC, then 15α+β is equal to
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 27 June 2022 Shift 1>Q 85
A rectangle R with end points of the one of its sides as 1,2 and 3,6 is inscribed in a circle. If the equation of a diameter of the circle is 2x-y+4=0, then the area of R is _____.