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A tetrahedron has vertices O (0,0,0), A(...

A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2), the angle between faces OAB and ABC will be

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A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), then angle between face O A Ba n dA B C will be a. cos^(-1)((17)/(31)) b. 30^0 c. 90^0 d. cos^(-1)((19)/(35))

Prove that the tetrahedron with vertices at the points O(0,0,0),\ A(0,1,1), B(1,0,1)a n d\ C(1,1,0) is a regular one.

Find the angles of /_\ABC whose vertices are A((-1,3,2), B(2,3,5) and C(3,5,-2) .

Show that (-1/2,2,0) is the circumacentre of the triangle whose vertices are A (1, 1, 0),B(1, 2, 1) and C (-2, 2, -1) and hence find its orthocentre.

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1) and C(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

If A,B,C are points (1,0,-1), (0,1,-1) and (-1,0,1) respectively find the sine of the angle between the lines AB and AC.

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Prove that the points O(0,0,0), A(2.0,0), B(1,sqrt3,0) and C(1,1/sqrt3,(2sqrt2)/sqrt3) are the vertices of a regular tetrahedron.,

Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4) and C (5,7,1).

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. ((p^^q)vv(pvv~q))^^(~p^^~q)) is equivalent to (A) ~p^^~q ...

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  2. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

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  3. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

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  4. A hyperbola is given with its vertices at (-2,0) and (2,0) one of the ...

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  5. Let fk=(1+2+3+...+k)/k Also is f1^2+f2^2+f3^2+...+f10^2=5/12N, then th...

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  6. If hati+hatj+muhatk, muhati+hatj+hatk, hati+muhatj+hatk are coplanar v...

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  7. y^2 = 4x be the parabola and the points A(9,6), B(4,-4) lie on the par...

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  8. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  9. The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+...

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  10. lim(x→0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 ...

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  11. If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then range of x will be ...

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  12. In a hyperbola, length of minor axis is 5 and distance between focii i...

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  13. y^2+4(x−a^2)=0. One of the vertexes of Delta'(Delta) is a vertex of ...

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  14. Contrapositive of the statement. If the squares of two numbers are equ...

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  15. Given ABCD is a parallelogram with vertices as A(1,2),B(3,4) and C(2,3...

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  16. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

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  17. If x,y is positive real numbers then maximum value of (x^my^n)/((1+x^(...

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  18. Given, sn=1+q+q^2++q^n ,Sn=1+(q+1)/2+((q+1)/2)^2++((q+1)/2)^n ,q!=1 p...

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  19. If the curve C is given by the relation y=x^2 +1. Then the area enclos...

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  20. Find y(x), if it satisfies the following differential equation (dy)/(d...

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