JEE Advanced Mathematics question
In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) An unbiased dice is thrown and the number shown is put for in . The probability of the equation to have real roots is (ii) are two unit vectors inclined at . Then is (iii) If is differentiable and then equals (iv) Three lines through the origin having direction ratios ; ; are noncoplanar. But the lines through the origin having direction ratios ; ; are coplanar; then equals Column II: (a) (b) (c) (d)
Solution
**(i)** Real roots need , i.e. , so . The probability is → **(a)**. - **(ii)** The part of the middle vector repeats the third vector and contributes . So \vec\vec\vec\vec\vec\vec\vec\vec\vec$
See the full step-by-step solution
Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.
Create a free account