JEE Main Online Exam 2019 [Memory Based Paper]

Transcription

1 JEE Main Online Eam 09 [Memory Based Paper] Questions & Answer Morning 9 th January 09 MATHEMATICS Q. Two cards are chosen from a deck of cards with replacement and X is a random variable for the number of Aces chosen. Then P( = ) + P( = ) is 5 () () () 69 5 () 69 Q. Average height and variance of 5 students in a class is 0 and respectively. If we add one student whose height is 6 cm then new variance is () () () 5 () 0 Q. The value of (cos sin ) + 6(sin + cos ) + sin 6 is () cos () cos + sin cos () cos 6 () cos 6 + sin cos Q. If a î ĵ, b î ĵ kˆ then c = () are two vectors and c is another vector such that 9 () 7 () a c b = 0 and a. c = 0 () Q.5 a, a,...a 0 are in A.P., a 5 = 7, a 0 =? i S = i 0 a i & T = i a (i ), S T = 75 () 5 () 5 () 56 () 57 Ltd., CP Tower, IPIA, Road No., Kota (Raj.), Ph:

2 Q.6 The equation of the common tangent to the parabola y = and the circle + y 6 = 0 is () y = ± ± () y = ± Ans. [] () y = + () y = ± ± Q.7 If + + = 0. Then + is () 9 () () () y Q. If and e >. Then the range of length of latus rectum is cos sin 0, () (, /) () (, ) () (, ) () (, ) Q.9 If p and q are the statement the (p q) (~ p q) is equivalent to (p ^ q) then ordered value of (, ) is (), (), (), (), Q.0 If a, b, c are in G.P. then a + b + c = b. Then () () () () Q. Ans. [] 0 k. Then k is () () 9 () 0 () 7 Q. lim 0 () is equal to - () () () Q. The area bounded by the curve y = and tangent to it at (, ) and y-ais is Ans. [] () / () / () / () / Ltd., CP Tower, IPIA, Road No., Kota (Raj.), Ph:

3 Q. A plane parallel to y ais passing through line of intersection of planes + y + z = and + y z =, then which of the point lies on the plane () (,, ) () (,, ) () (,, ) () (,, ) Q. If f () =, f() =, f() = () f () () and (fojof)() = f(). Find out J() f () () f () () f () 5 a b Q.6 f() =, what is possible value of a & b if f() is continuous for R b () a = 0, b = 0 () a = 5, b = 0 () a, b () a = 5, b = 0 Q.7 If cos + cos =, > then find () 5 () 5 () 5 () 5 isin Q.,, is purely imaginary. Find sum of all value of isin () / () / () / () Ans. [] sin( ) sin ( ) Q.9 sin( ) sin ( ) d, ( n +, n N) equals- () log e + c () log e c () log e sec + C () log sec e c Ltd., CP Tower, IPIA, Road No., Kota (Raj.), Ph:

4 Q.0 If a < b < c then three circles are touching each other eternally and have -ais as a common tangent, then - () a + c = b () + = b c a () a, b, c are in A.P. () a + c = b Q. If is angle of intersection between y = 0 and y = + then tan is () 5 () 7 () () None Q. Find the equation of line through (,, ) & parallel to the plane + y + z =, while the line intersects 5 y 5 z 0 another line is - () = () = y z = y z = () = () = y z = y z = Q. cos d = 0 () 0 () () () cos sin Q. If A then A 50 at = is equal to sin cos / () / () / / / / / / () () / / / / / / / / Q.5 If 5 girls and 7 boys are in a class. How many number of groups can be made by girls and boys in which two particular boys never comes together () 0 () 0 () 00 () 05 Ltd., CP Tower, IPIA, Road No., Kota (Raj.), Ph:

5 Q.6 There is a parabola having ais as -ais, verte is at a distance of units from origin and focus is at (, 0) which of the point does not lie on the parabola. () (6, ) () ( 5, 6) () (, ) () (, ) Ans. [] Q.7 If y() is solution of () 9 5 () 6 dy + y =, y() = then value of y d 9 () 6 is equal to () 5 Q. If slant height of a right circular cone is cm then the maimum value of cone is - () () () ( ) () ( ) Q.9 If p + qy + r = 0 represent family of straight lines such that p + q + r = 0 then () All lines are parallel () All line are concurrent at, () All lines are concurrent at (, ) () None of these Q.0 Consider the system of equation + y + z =, + y + z =, + y + (a ) z = a +, then () System is inconsistent for a = () System is inconsistent for a = () System is inconsistent for a = () System is inconsistent for a = 5 Ans. [] Ltd., CP Tower, IPIA, Road No., Kota (Raj.), Ph: