Find the equation of the line which passes through the point (3, -5) and cuts off intercepts on the axes which are equal in magnitude but opposite in sign.
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7) For the same curvature focal length of concave and convex mirror are........ a)equal b) un equal c)equal but opposite d) un eq
The magnitude of the focal length are the same. But the focal length of concave is positive and the concave focal length is negative. The positive and negative sign are...
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A line passes through the point (3,4,5) and is parallel to the vector `(2hat(i) +2hat(j) -3hat(k))` . Find the equations of the line in the vector as
Correct Answer - `vec(r )=(2hat(i)+4hat(j)+5hat(k)) +lambda(2hat(i) +2hat(j)-3hat(k)) ,(x-3)/(2)=(y-4)/(2)=(z-5)/(-3)`
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A line passes through the point (2,1,-3) and is parallel to the vector `(hat(i) -2hat(j) +2hat(k))` . Find the equations of the line in vector and Car
Correct Answer - `vec(r )=(2hat(i)-hat(j)-3hat(k)) +lambda (hat(i) -2hat(j)+3hat(k)) ,(x-2)/(1)=(y-1)/(-2)=(z+3)/(3)`
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A line is drawn in the direction of `(hat(i) +hat(j) -2hat(k))` and it passes through a point with position vector `(2hat(i) -hat(j) - 4hat(k))` .Find
Correct Answer - `vec(r )=(2hat(i) -hat(j) +4hat(k)) +lambda(hat(i)-hat(j)-2hat(k)) ,(x-2)/(1)=(y+1)/(1)=(z-4)/(-2)`
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Find the Cartesian equations of the line which passes through the point (1,3-2) and is parallel to the given by ltbgt `(x+1)/(3) =(y-4)/(5)=(z+3)/(-6)
Correct Answer - `(x-1)/(3)=(y-3)/(5) =(z+2)/(-6) , vec( r) =(hat(i) +3hat(j)-2hat(k)) +lambda(3hat(i) +5hat(j) -6hat(k))`
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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))`
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Find the equation of a line (i) whose slope is 4 and which passes through the point (5, -7), (ii) whose slope is -3 and which passes through the point
Correct Answer - (i)4x-y=27=0 (ii)3x+y+3=0 (iii)`sqrt3+y-2=0`
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A straight line passes through the point (-5,2) and the portion of the line intercepted between the axes is divided at this point in the ratio 2:3. Fi
Correct Answer - 3x-5y+25=0
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Find the equation of the plane through the point `(4,-3,2)` and perpendicular to the line of intersectin of the planes `x-y2z-3=0 and 2x-y-3z=0.` Find
Correct Answer - `-hatj+8hatk`
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According to Newton’s third law of motion for every action there is equal and opposite reaction, why two equal and opposite
Forces of action and reaction always act on different bodies, hence they never cancel each other.
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