Engineering Questions — JEE (Main)
81 solved questions with detailed explanations
Q.11. Let O be the vertex of the parabola and its chords OP and OQ are perpendicular to each other. If the locus of the mid-point of the line segment PQ is a conic C, then the length of its latus rec
Q.29. The velocity(v) versus time (t) plot of a particle is shown in the figure, for a time interval of 40s. The total distance travelled by the particle and the average velocity during this period ar
Q.2. Let the sum of the first n terms of an A.P. be . Then the sum of squares of the first 10 terms of the A.P. is:
Q.8. Let the mean and the variance of seven observations , , be 8 and 16 respectively. Then the quadratic equation whose roots are and is:
Q.28. A mass of 1 kg kept in a inclined plane with 30° inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s. Th
Q.26. Match List-I with List-II. List-I List-II (A) Meter (L) I. (B) Second (S) II. (C) Kilogram (M) III. (D) Kelvin (K) IV. where h (Planck's constant), G (gravitational constant) and c (speed of
Q.7. A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :
Q.6. A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car. The probabili
Q.70. Statement I: Sodium dichromate and potassium dichromate are classified as primary standard in titrimetric analysis. Statement II : Phenolphthalein is a weak base, therefore it dissociates in aci
Q.25. Let y = y(x) be the solution of the differential equation (tanx)²dy = (sec³x - (tanx)²y)dx, 0 < x < , y() = . If y() = , then equals .......
Q.73. 20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found
Q.1. Let [] denote the greatest integer function. If the domain of the function is [, ), then is equal to:
Q.13. Let , and . Then is equal to:
Q.10. Let P be a moving point on the circle . Then, the maximum distance of P from the vertex of the parabola is equal to :
Q.7. A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :
Q.4. Consider the system of linear equations in x, y, z :,,,Where is a differentiable function. If this system has infinitely many solutions for all , then f
Q.3. If the system of linear equations : , , . has infinitely many solutions, then the value of equals.
Q.1. Let [] denote the greatest integer function. If the domain of the function is , then is equal to :
Q.23. If S = {: }, then n(S) is equal to ........
Q.5. Let and , . If , then the value of is: