Two points P and Q are lying on the curv...

Two points P and Q are lying on the curve `y=log_(2)(x+3)` in `xy` plane such that `vec (OP)` .`hat i=1` and ,`vec OQ*hat j=3` ,then the value of `|vec (OQ)-2vec (OP)|` is (where,"O" is the origin).

`sqrt(6)`

`sqrt(7)`

`sqrt(8)`

`sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 109
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
NTA JEE MOCK TEST 22
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If two point P and Q are on the curve y=2^(x+2) , such that vec(OP).hati=-1 and vec(OQ).hati=2 , where hati is a unit vector along the x - axis, then |vec(OQ)-4vec(OP)| is equal to

Let P and Q be two points in the xy plane on the curve y=x^(7)+3x^(5)-5x^(3)+2x+5 such that vec(OP).hat i=lambda and vec(OQ).hat i=-lambda then magnitude of vec(OP)+vec(OQ) is

Let P and Q are two points in the xy plane on the curve y = x^(11) - 2x^(7) + 7x^(3) + 11x + 6 such that vec(OP) cdot hati = 5, vec(OQ) cdot hati = -5 , then the magnitude of vec(OP) + vec(OQ) is

If P and Q are two given points on the curve y=x+(1)/(x) such that vec OP.hat i=1 and vec OQ*hat i=-1 where i is a unit vector along x - axis then the length of the vector 3vec OP+2vec OQ is (A) sqrt(5) (B) 3sqrt(5)(C)2sqrt(5)(D)5sqrt(5)

If vec a*hat i=4, then the value of vec a*{hat j xx(2hat j-3hat k)} is equal to

If vec(a)=4hat(i)+hat(j)-hat(k) , vec(b)=3hat(i)-2hat(j)+2hat(k) , then the value of |vec(a)-vec(b)-vec(c)| is :-

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|

If vec a=hat i-hat j and vec b=-hat j+2hat k, find (vec a-2vec b)*(vec a+vec b)

If vec(P)=hat(i)+hat(j)-hat(k) and vec(Q)=hat(i)-hat(j)+hat(k) , then unit vector along (vec(P)-vec(Q)) is :

If vec a=hat i+hat j,vec b=hat j+hat k and vec c=hat k+hat i where unit vectors parallel to vec a+vec b-2vec cdots

NTA MOCK TESTS-NTA JEE MOCK TEST 19-MATHEMATICS

If A and B are square matrices of order 3 such that |A| = 3 and |B| = ...
Text Solution
|
Which of the following statement is equivalent to the statement "if 2 ...
Text Solution
|
Two points P and Q are lying on the curve y=log(2)(x+3) in xy plane su...
Text Solution
|
Bag A contains 4 green and 3 red balls and bag B contains 4 red and 3 ...
Text Solution
|
The value of the integral I=int(0)^( pi/4)[sin x+cos x](cos x-sin x)dx...
Text Solution
|
If the letters of the word CORONA are arranged in all possible ways an...
Text Solution
|
The solution of the differential equation dy - (ydx)/(2x) = sqrt(x) yd...
Text Solution
|
If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then range of x will be
Text Solution
|
If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 ...
Text Solution
|
The sum up to 60 terms of 3/(1^2) + 5/(1^2 + 2^2) + 7/(1^2 + 2^2 + 3^2...
Text Solution
|
If C(0), C(1), C(2),..., C(n) are binomial coefficients in the ex...
Text Solution
|
The value of the integral int((sin x)/(x))^(6)((x cos x - sin x)/(x^2)...
Text Solution
|
If the difference between the number of subsets of two sets A and B is...
Text Solution
|
The function f : [0, 7] to [0, 70] where f(x) = x^(3) - 12x^(2) + 45x,...
Text Solution
|
The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...
Text Solution
|
The value of lim(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to
Text Solution
|
The number of values of p for which the lines x+ y - 1 = 0, px + 2y + ...
Text Solution
|
If y = 1/x , then the value of (dy)/(sqrt(1 + y^4)) + (dx)/(sqrt(1 + x...
Text Solution
|
From a point P(3, 3) on the circle x^(2) + y^(2) =18 , two chords PQ a...
Text Solution
|
The equation of parabola which cuts the parabola y^(2) = 4bx orthogona...
Text Solution
|