Among the following a line passing through origin is (x, y ≠ 0)
A) x + y = 6
B) x/2 - y/3 = 3
C) y = 3x
D) \(\sqrt{2}\) + 3y = 9
0 Answers
Find the value of `p `for which the line through the points `A(4, 1, 2)` and `B(5,p,0)` is perpendicular to the line through the points `C(2, 1, 1) `a
Correct Answer - `p=(-3)/(2)`
2 Answers 1 views
Find the vector equations of the line passing through the point with position vector `(2hat(i) +hat(j) -5hat(k))` and parallel to the vector `(hat(i)
Correct Answer - `vec(r ) =(2hat(i) +hat(j) -5hat(k)) +lambda(hat(i) +3hat(j)-hat(k)) ,(x-2)/(1)=(y-1)/(3)=(z+5)/(-1)`
2 Answers 1 views
Find the equations of the line passing through the point (1,-2,3) and parallel to the line `(x-6)/(3) =(y-2)/(-4) =(z+7)/(5)` Also find the vector for
Correct Answer - `(x-1)/(3)=(y+2)/(-4) =(z-3)/(5) , vec( r) =(hat(i) -2hat(j) +3hat(k)) +lambda (3hat(i) -4hat(j) +5hat(k))`
2 Answers 1 views
Find the Vector and Cartesian equations of the line passing through the point (1, 2, 4) and perpendicular to the two lines `(x-8)/3=(y+19)/(-16)=(z-10
Correct Answer - `(x-1)/(2)=(y-2)/(3)=(z+4)/(6),vec(r ) =(hat(i) +2hat(j) -4hat(k)) +lambda(2hat(i) +3hat(j) +6hat(k))`
2 Answers 2 views
What is the value of `y` so that the line through `(3, y)a n d (2,7)` is parallel to the line through `(-1,4)a n d (0,6)?`
Correct Answer - x=9
2 Answers 1 views
Find the slope and the equation of the line passing through the points: (i)(3,-2) and (-5,-7) (ii)(-1,1) and (2,-4) (5,3) and (-5,-3) (iv) (a,b) and (
Correct Answer - `(i)(5)/(8), 5x-8y-31=0 (ii)(-5)/(3), 5x+3y+2=0` (iii)`(3)/(5),3x-5y=0 (iv)0,y=b`
2 Answers 1 views
Among the following a line passing through origin is (x, y ≠ 0)
Correct option is (C) y = 3x \(y=3x\) is line passing through origin. (Because (0, 0) satisfies the equation y = 3x)
2 Answers 1 views
Given below are the lengths of chords of a circle. Among these one chord is passing through the centre.
Correct option is C) 8 cm
2 Answers 2 views
Graph of Hooke’s law is in the shape of A) straight line passing through origin
A) straight line passing through origin
2 Answers 1 views