Point – JEE Main Previous Year Question with Solutions

JEE Main Previous Year Question of Math with Solutions are available at eSaral. Practicing JEE Main Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas.

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Q. The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1)(1, 1) and (1, 0) is :

(1) $2+\sqrt{2}$

(2) $2-\sqrt{2}$

(3) $1+\sqrt{2}$

(4) $1-\sqrt{2}$

[JEE-MAIN 2013]

Sol. (2) Q. Let $\mathrm{A}(-3,2)$ and $\mathrm{B}(-2,1)$ be the vertices of a triangle ABC. If the centroid of this triangle lies on the line $3 x+4 y+2=0,$ then the vertex $\mathrm{C}$ lies on the line:

(1) 4x + 3y + 5 = 0

(2) 3x + 4y + 5 = 0

(3) 3x + 4y + 3 = 0

(4) 4x + 3y + 3 = 0

[JEE-MAIN Online 2013]

Sol. (3)  Q. Let k be an integer such that triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :

(1) $\left(2, \frac{1}{2}\right)$

( 2)$\left(2,-\frac{1}{2}\right)$

(3) $\left(1, \frac{3}{4}\right)$

(4) $\left(1,-\frac{3}{4}\right)$

[JEE(Main)-2017]

Sol. (1)  Q. Let the orthocentre and centroid of a triangle be A(–3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is:

(1) $2 \sqrt{10}$

(2) $3 \sqrt{\frac{5}{2}}$

(3) $\frac{3 \sqrt{5}}{2}$

(4) $\sqrt{10}$

[JEE(Main)-2018]

Sol. (2) 