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find the eqn. of plane parallel to [rv].(3[ic]+4[jc]+[kc])+5=0 and containing the point (1,1,1) ...
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find d such that line [rv]=[ic]+3[jc]-2[kc]+λ(3[ic]+[jc]-2[kc])=0 lies on the plane [rv].(2[ic]+4[jc]+5[kc])+d=0 ...
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find the angle between the line [rv]=[ic]+3[jc]+5[kc]+λ([ic]+5[jc]-2[kc])=0 and plane [rv].(-2[ic]+5[jc]+[kc])+4=0 ...
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find the angle between the planes [rv].(7[ic]-4[jc]+[kc])+3=0 & [rv].(4[ic]-[jc]+7[kc])+4=0 ...
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eqn. of plane passing through (3,5,2) and whose normal is 3[ic]+4[jc]-7[kc] ...
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find the eqn of a plane which is at distance 6 from origin and whose normal is 2[ic]-4[jc]+4[kc] ...
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find the eqn of shortest distance between the lines [rv]=[ic]-[jc]+[kc]+λ([ic]+[jc]-[kc]) [rv]=3[ic]+[jc]+[kc]+μ([ic]-2[jc]+[kc]) ...
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find the point of intersection of lines [rv]=[ic]+[jc]-[kc]+λ(3[ic]-[jc]) [rv]=4[ic]-[kc]+μ(2[ic]+3[kc]) ...
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for what t thes lines are paralllel [rv]=4[ic]-[jc]+2[kc]+λ(3[ic]+4[jc]+[kc]) [rv]=9[ic]+8[jc]+3[kc]+μ(12[ic]+t[jc]+4[kc]) ...
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find n such that these lines are coplanar [rv]=[ic]-[jc]+5[kc]+λ(3[ic]-2[jc]+[kc]) [rv]=3[ic]-[jc]+n[kc]+μ([ic]-5[jc]+7[kc]) ...
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find the angle between the lines [rv]=3[ic]+5[jc]-2[kc]+λ(4[ic]-3[jc]+[kc]) [rv]=2[ic]+7[jc]-[kc]+μ(3[ic]-[jc]+4[kc]) ...
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the line through (3,1,5) & (-2,3.2) passes through ...
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a line through 4[ic]-[jc]+[kc] and [ic]+2[jc]-3[kc] passes through ...
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a line through 3[ic]+4[jc]+7[kc] and along 5[ic]+3[jc]-2[kc] passes through ...
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a line through (2,1,3) and having direction ratios 5,4 & 8 passes through the point ...
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find the eqn of chord of hyperbola x2/36-y2/9=1whose middle point is (2,1) ...
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eqn. of chord of contact of tangents drawn from a point (1,1) to hyperbola x2/4-y2/3=1 ...
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find eqn of normal perpendicular to line x+2y=5 to hyperbola x2/16-y2/3=1 ...
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find the eqn. of normal at P(π/3) to hyperbola x2/16-y2/3=1 ...
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find the eqn. of normal to hyperbola x2/3-y2/8=1 at point (3,4) ...
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The maximum heights of two bodies thrown straight up at a velocity ratio x is ? ...
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If the distance travelled is zero, the displacement will be ...
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Two cars start from the same point. One at an acceleration of 5m/s2 and another at a constant speed of 10m/s. Where will they meet? (Distance from the starting point) ...
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a car travels 1/3rd the total distance at velocity 20, another 1/3rd at 30 and the rest at 60 km/hr. Find the average velocity. ...
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find the eqn of pair of tangents which can be drawn from point (4,3) to hyperbola x2/16-y2/9=1 ...
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for what value of c, line y=2x+c touches the hyperbola x2/9-y2/16=1 ...
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find the eqn of tangent at point P(π/3) to hyperbola x2/4-y2/3=1 ...
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find the eqn. of tangent parallel to the line x-y+4=0 to hyperbola x2/5-y2/4=1 ...
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find the eqn of tangent to hyperbola x2/2-y2/3=1 at point (2,√3) ...
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find the eccentricity of the hyperbola whose latus rectum is equal to its transverse axis. ...