Practice/Question bank/JEE Main

JEE Main practice questions

NTA-style Physics, Chemistry and Maths MCQs with solutions. 2,688 questions in the bank.

All subjectsMathematicsBiologyPhysicsChemistry
  1. 1non-zero and non-collinear. The value of x forMathematics· Vectors· Moderate· figure
  2. 2The vectors [IMAGE] and [IMAGE] are the sides of a triangle[IMAGE]. The length of the median through A isMathematics· Vectors· Tough· figure
  3. 3If the vector [IMAGE] satisfying [IMAGE] given by (where [IMAGE] )Mathematics· Vectors· Tough· figure
  4. 4If [IMAGE] are non-zero vectors suchMathematics· Vectors· Tough· figure
  5. 5Equation of a plane which passes through the point of intersection of lines [IMAGE] and [IMAGE] and at greatest distance from the point (0,…Mathematics· 3D· Moderate· figure
  6. 6[IMAGE] with the plane of [IMAGE] and [IMAGE] and angle between [IMAGE] is [IMAGE] then the value of[IMAGE] equalsMathematics· Vectors· Moderate· figure
  7. 7Direction cosine of normal to plane containingMathematics· 3D· Moderate· figure
  8. 8An [IMAGE] matrix is formed using only 0, 1 and -1 as its elements. Number of such matrices which are skew symmetric isMathematics· Matrix and determinant· Tough· figure
  9. 9It S is the set of distinct values of for which the following system of linear equations [IMAGE] has no solution, then S isMathematics· Matrix and determinant· Easy· figure
  10. 10If A and B are two non-singular matrices where [IMAGE] then [IMAGE] is equal toMathematics· Matrix and determinant· Easy· figure
  11. 11[IMAGE] the angle between [IMAGE] and. Find the value of kMathematics· Vectors· Easy· figure
  12. 12If [IMAGE] and [IMAGE] then find the value of[IMAGE].Mathematics· Vectors· Moderate· figure
  13. 13Let P and Q be [IMAGE] matrices with[IMAGE]. If, then determinant of [IMAGE] is equal toMathematics· Matrix and determinant· Moderate· figure
  14. 14The distance of the point [IMAGE] from the plane [IMAGE] measured parallel to the line [IMAGE] is [IMAGE] then value of [IMAGE] isMathematics· 3D· Moderate· figure
  15. 15[IMAGE] represents the angle between value of [IMAGE] is [IMAGE] The value ofMathematics· Vectors· Tough· figure
  16. 16Let A be a [IMAGE] matrix with real entries. If [IMAGE] then the value of [IMAGE]Mathematics· Matrix and determinant· Moderate· figure
  17. 17If A is a square matrix of order [IMAGE] and k is a scalar, then [IMAGE] is equal toMathematics· Matrix and determinant· Easy· figure
  18. 18If the system of linear equation [IMAGE] and [IMAGE] has a non-zero solution, thenMathematics· Matrix and determinant· Moderate· figure
  19. 19If [IMAGE] then [IMAGE] isMathematics· Matrix and determinant· Moderate· figure
  20. 20Let [IMAGE] be a vector which makes an angle of 120º with a unit vector [IMAGE] in XY plane, then the unit vector [IMAGE] isMathematics· Vectors· Moderate· figure
  21. 21If [IMAGE] thenMathematics· Vectors· Easy· figure
  22. 22If line [IMAGE] is parallel to planes of[IMAGE] and µ areMathematics· 3D· Easy· figure
  23. 23Let $\left( x_{0},y_{0} \right)$ be the solution of the following equations $(2x)^{\mathcal{l}n2} = (3y)^{\mathcal{l}n3}$…Mathematics· Logarithm· / Moderate
  24. 24The range of a for which the equation $x^{2} + ax - 4 = 0$ has its smaller root in the interval (-1,2) isMathematics· Quadratic Equations· Moderate· figure
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