Mathematics questions
18011 published questions with worked solutions.
- Let ABC and ABC' be two non-congruent triangles with sides AB=4, AC=AC'=2 2 and angle B=30^ . The absolute value of the...Not in JEE syllabus
- Consider a ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. If a=6, b=10 and...Not in JEE syllabus
- The expression A 1- A + A 1- A can be written as
- If =- 43, then is
- Let S= x (- , ):x 0, 2 . The sum of all distinct solutions of the equation 3 x+ cosec ,x+2( x- x)=0 in the set S is equal toNot in JEE Main syllabus
- If P= : - = 2 and Q= : + = 2 are two sets, thenNot in JEE Main syllabus
- The general solution of the trigonometric equation x+ x=1 is given byNot in JEE Main syllabus
- For x (0, ), the equation x+2 2x- 3x=3 hasNot in JEE Main syllabus
- ABCD is a trapezium such that AB and CD are parallel and BC CD. If ADB= , BC=p and CD=q, then AB is equal to
- If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides...Not in JEE syllabus
- In a ABC, which one of the following is true?Not in JEE syllabus
- The sides of a triangle are in the ratio 1: 3:2. Then the angles of the triangle are in the ratioNot in JEE syllabus
- If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter isNot in JEE syllabus
- In a ABC, 2ac [ 12(A-B+C) ] is equal toNot in JEE syllabus
- In a triangle, the sum of two sides is x and the product of the same two sides is y. If x^2-c^2=y, where c is the third side of...Not in JEE syllabus
- Which of the following pieces of data does not uniquely determine an acute angled ABC (R being the radius of the circumcircle)?Not in JEE syllabus
- In ABC, let C= 2 . If r is the inradius and R is the circumradius of the triangle, then 2(r+R) is equal toNot in JEE syllabus
- If 0<A,B,C< , then the minimum value of ( ^2A+ A+1 A ) is ____.
- In ABC, if b+c=3a, then the value of ( B 2 ) ( C 2 ) is ____.Not in JEE syllabus
- If in ABC, A a = B b = C c , side a=2 and the area of ABC is S, then the value of [S], where [ ] represents the greatest integer...Not in JEE syllabus