Related InterviewSolutions

• In Fig 4 the coordinates of point D areA. `(b,a,0)`B. `(a,b,0)`C. `(b,c,0)`D. `(0,b,c)`
• The point equidistant from the `O(0,0,0),A(a,0,0),B(0,b,0)` and `C(0,0,c)` has the coordinatesA. `(a,b,c)`B. `(a//2,b//2,c//2)`C. `(a//3,b//3,c//3)`D. `(a//4,b//4,c//4)`
• In fig. 28.7 if the coordinates of point `P a r e (a , b , c)`thenWrite the coordinates of points A, B, C, D, E and F.Write the coordinates of the feet of the perpendiculars from the pointP to the coordinate axes.Write the coordinates of the feet of the perpendicular from the point `P`on the coordinate planes `X Y , Y Z a n d Z Xdot`Find the perpendicular distances of point `P`from `X Y , Y Z a n d Z X-`planes.Find the perpendicular distances of the point `P`fro the coordinate axes.Find the coordinates of the reflection of `P`are `(a , b , c)`. Therefore `O A=a , O B=b n d O C=cdot`A. `a,b,c`B. `b,c,a`C. `c,a,b`D. none of these
• Find the ratio in which the line joining thepoints `(1,2,3)a n d(-3,4,-5)`is divided by the `x y-p l a n e`. Also, find the coordinates of the point ofdivision.A. 3:5 internallyB. 5:3 externallyC. 3:5 externallyD. 5:3 internally
• Let `P(2,-1,4)` and `Q(4,3,2)` are two points and as point `R` on `PQ` is such that `3PQ=5QR`, then the coordinates of `R` areA. `(14/5,3/5,16/5)`B. `(16/5,7/5,14/5)`C. `(11/4,1/2,13/4)`D. none of these
• If a line makes angle `alpha, beta` and `gamma` with the coordinate axes respectively, then `cos2alpha+cos 2 beta+cos 2gamma=`A. 2B. -1C. 1D. 2
• The direction cosines of the line passing through `P(2,3,-1)` and the origin areA. `2/(sqrt(14)),3/(sqrt(14)),1/(sqrt(14))`B. `2/(sqrt(14)),-3/(sqrt(14)),1/(sqrt(14))`C. `-2/(sqrt(14)),-3/(sqrt(14)),1/(sqrt(14))`D. `-2/(sqrt(14)),-3/(sqrt(14)),-1/(sqrt(14))`
• If the direction ratios of a lines are proportional to `1,-3,2` then its direction cosines areA. `1/(sqrt(14)),(-3)/(sqrt(14)),2/(sqrt(14))`,B. `1/(sqrt(14)),2/(sqrt(14)),3/(sqrt(14))`C. `-1/(sqrt(14)),3/(sqrt(14)),2/(sqrt(14))`D. `-1/(sqrt(14)),(-2)/(sqrt(14)),(-3)/(sqrt(14))`
• If `P(x,y,z)` is a point on the line segment joining `Q(2,2,4)` and `R(3,5,6)` such that projections of `vec(OP)` on the axes are `13/5,19/5,26/5` respectively, then `P` divides `QR` in the ratioA. `1:2`B. `3:2`C. `2:3`D. `3:1`
• The projections of a line segment on the coordinate axes are 12,4,3 respectively. The length and direction cosines of the line segment areA. `13,12/13,4/13,3/13`B. `19,12/19,4/19,3/19`C. `11,12/11,14/11,3/11`D. none of these