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# Jee Mains Year 2007 Maths Solutions

## Maths Year 2007 Maths Jee Mains Solutions

Free Jee Mains video solutions with Jee Mains 2007 question paper for Maths. Doubtnut provides Jee Mains solution of 2007 for Maths with Jee Mains 2007 question paper.

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### JEE MAINS Class 11 | SEQUENCES AND SERIES

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals (1) `1/2(1-sqrt(5))` (2) `1/2sqrt(5)` (3) `sqrt(5)` (4) `1/2(sqrt(5)-1)`

### JEE MAINS Class 12 | INVERSE TRIGONOMETRIC FUNCTIONS

If `sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2` then the value of x is: (1) 1 (2) 3 (3) 4 (4) 5

### JEE MAINS Class 11 | BINOMIAL THEOREM

In the binomial expansion of `(a-b)^n , ngeq5,` the sum of 5th and 6th terms is zero, then `a/b` equals (1) `5/(n-4)` (2) `6/(n-5)` (3) `(n-5)/6` (4) `(n-4)/5`

### JEE MAINS Class 11 | PERMUTATIONS AND COMBINATIONS

The set `S""=""{1,""2,""3,"" ,""12)` is to be partitioned into three sets A, B, C of equal size. Thus, `AuuBuuC""=""S ,""AnnB""=""BnnC""=""AnnC""=varphi` . The number of ways to partition S is (1) `(12 !)/(3!(4!)^3)` (2) `(12 !)/(3!(3!)^4)` (3) `(12 !)/((4!)^3)` (4) `(12 !)/((4!)^4)`

### JEE MAINS Class 12 | FUNCTIONS

The largest interval lying in `(-pi/2,pi/2)` for which the function `[f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)]` is defined, is (1) `[0,pi]` (2) `(-pi/2,pi/2)` (3) `[-pi/4,pi/2)` (4) `[0,pi/2)`

### JEE MAINS Class 10 | TRIGONOMETRIC RATIOS

A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are (1) 12 kg and 13 kg                    (2) 5 kg and 5 kg (3) 5 kg and 12 kg                      (4) 5 kg and 13 kg

### JEE MAINS Class 12 | PROBABILITY

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is (1) 1/729                                                                   (2) 8/9 (3) 8/729                                                                   (4) 8/243

### JEE MAINS Class 11 | CIRCLES

Consider a family of circles which are passing through the point `(-1,""1)` and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval (1) `0""<""k""<""` (2) `kgeq` (3) `-lt=klt=` (4) `klt=`

### JEE MAINS Class 12 | THREE DIMENSIONAL GEOMETRY

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha `with the positive x-axis, then cos` alpha ` equals

### JEE MAINS Class 12 | DIFFERENTIAL EQUATIONS

The differential equation of all circles passing through the origin and having their centres on the x-axis is (1) `x^2=""y^2+""x y(dy)/(dx)` (2) `x^2=""y^2+"3"x y(dy)/(dx)` (3) `y^2=x^2""+"2"x y(dy)/(dx)` (4) `y^2=x^2""-"2"x y(dy)/(dx)`

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