JEE Main questions
34495 published questions with worked solutions.
- In a ABC, if r_1:r_2:r_3=2:4:6, then a:b:c=Not in JEE syllabus
- In ABC, if C=30^ and 2a= 3b+c, thenNot in JEE syllabus
- If the sides a, b and c of a ABC are in AP, then ( A 2 + C 2 ): B 2 isNot in JEE syllabus
- In a ABC, if a=26, b=30 and C= 63 65 , then r_2=Not in JEE syllabus
- If the sides of a triangle are the roots of the equation x^3-15x^2+74x-120=0, then the product of the in-radius and circum-radius...Not in JEE syllabus
- If in a ABC, (a+b+c)(b+c-a)= bc, thenNot in JEE syllabus
- In a ABC, r_1 bc + r_2 ca + r_3 ab is equal toNot in JEE syllabus
- If p_1,p_2,p_3 are the altitudes of a triangle ABC from the vertices A,B,C and is the area of the triangle, then 1 p_1^2 + 1...Not in JEE syllabus
- In ABC, A= 3 , b:c=2:3 and = 3 5 , 0< < 2 . ThenNot in JEE syllabus
- If a triangle is right angled at B, then the diameter of the incircle of the triangle isNot in JEE syllabus
- If two angles of a triangle are 30^ and 45^ and the included side is ( 3+1) cm, then the area of the triangle isNot in JEE syllabus
- If a,b,c denote the sides of a ABC and the equations ax^2+bx+c=0 and x^2+ 2x+1=0 have a common root, then C=
- If a circle is inscribed in an equilateral triangle of side a, then the area of the square inscribed in the circle isNot in JEE syllabus
- Two sides of a triangle are 2 2 cm and 2 3 cm and the angle opposite to the shorter of the two is 4 . The largest possible length...Not in JEE syllabus
- If I is the incentre of a ABC, then IA:IB:IC is equal toNot in JEE syllabus
- In a ABC, AD is the altitude from A. Given b>c, C=23^ and AD= abc b^2-c^2 , then B is equal toNot in JEE syllabus
- If in a ABC, AD, BE and CF are the altitudes and R is the circum-radius, then the radius of the circumcircle of DEF isNot in JEE syllabus
- If AD, BE and CF are the medians of a ABC, then (AD^2+BE^2+CF^2):(BC^2+CA^2+AB^2) is equal toNot in JEE syllabus
- In a ABC, if r_1=16, r_2=48 and r_3=24, then its in-radius isNot in JEE syllabus
- In a ABC, A 2 + B 2 + C 2 A+ B+ C =Not in JEE syllabus