If the equations x2+2x+3=0 and ax2+bx+c=0, a,b,c∈R, have a common root, then a:b:c is:
Q102mediummcqMathematicsJEE Main2026
If z is a complex number of unit modulus and argument θ, then arg(1+zˉ1+z) equals:
Q103mediummcqMathematicsJEE Main2026
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is:
Q104mediummcqMathematicsJEE Main2026
Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A×B having 3 or more elements is:
Q105mediummcqMathematicsJEE Main2026
The number of values of k, for which the system of equations(k+1)x+8y=4kkx+(k+3)y=3k−1 has no solution, is:
Q106mediummcqMathematicsJEE Main2026
If P=112α34334 is the adjoint of a 3×3 matrix A and ∣A∣=4, then α is equal to:
Q107mediummcqMathematicsJEE Main2026
Let Tn be the number of all possible triangles formed by joining vertices of an n -sided regular polygon. If Tn+1−Tn=10, then the value of n is:
Let A and B be two symmetric matrices of order 3.Statement-1 : ABA and AB2A are symmetric matrices.Statement-2 : AB is a symmetric matrix if matrix multiplication of A and B is commutative.
Q110mediummcqMathematicsAIEEE 20042004
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If z=x−iy and z31=p+iq, then (p2+q2)(px+qy) is equal to
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