Find the shortest distance between two skew lines r=6i+2k+2k+t

 P. Find the shortest distance between two skew lines r=6i+2k+2k+t

  (For other Questions, you can find   Jr. Inter Maths 1A , Jr. Inter Maths 1B, Sr. Inter Maths2A , Sr. Inter Maths2B  playlists in the You tube.)

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Solutions to the below questions are also available in our You tube channel

Maths 1A:

1. If the points whose position vectors are 3i-2j-k,2i+3j-4k,-i+j+2k

2. If a=2i+j-k, b=-i+2j-4k, c=i+j+k then find (a×b).(b×c)

3. For A belongs to R, Prove that cosA.cos((π/3)+A).cos((π/3)-A)=1/4cos3A and

4. Solve cot^2x-(√3+1)cotx+√3

5. Prove that tan^(-1)(1/2) + tan^(-1)(1/5) + tan^(-1)(1/8)

6. In ∆ABC, Show that (b^2-c^2)/a^2=sin(B-C)/sin(B+C)

7. Let f:A→B be a bijection. Then show that

8. show that |abc bca cab|^2=|2bc-a^2 c^2 b^2 c^2 2ac-b

9. By using Mathematical Induction, prove the statement:(1/1.3)+

10. lf A+B+C=π/2, then prove that cos2A+cos2B+cos2C=1+4sinA.sinB.sinC

11. In ∆ABC, prove that r+r1+r2-r3=4RcosC

12. Find the shortest distance between two skew lines r=6i+2k+2k+t

13. Let ABCDEF be a regular hexagon with centre O, show that AB+AC+AD+AE+AF

14. Find the value of sin^2(π/10)+sin^2(4π/10)+sin^2(6π/10)+sin^2(9π/10)

15. Prove that (1/sin10°)-(√3/cos10°)=4

16. If I=1001and E=0100 then show that (aI+bE)^3=a^3I+3a

17. If A+B+C=π, then prove that, cos^2(A/2)+cos^2(B/2)+cos^2(C/2)=2[1+sin

18. If sinx+siny=1/4 and cosx+cosy=1/3 then show that tan[(x+y)/2]

19. In ∆ABC, prove that cotA+cotB+cotC=(a^2+b^2+c^2)/4∆

20. In ∆ABC, if a=13, b=14, c=15, show that R=65/8, r=4, r1=21/2,r2=12, r3=14

21. Prove that sin^4(π/8)+sin^4(3π/8)+sin^4(5π/8)+sin^4(7π/8)=3/2

22. Prove that tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=π/4

23. If cot(A/2), cot(B/2), cot(C/2) are in AP then prove that a, b,c are in AP

24. If A+B+C=π/2 then prove that cos2A+cos2B+cos2C=1+4sinA.sinB.sinC

25. Prove that r+r3+r1-r2=4RcosB

26. Prove that (1+cosπ/10)(1+cos3π/10)(1+cos7π/10)(1+cos9π/10)=1/16

27. Given p not equal to plus or minus q, show that the solutions

28. In ∆ABC, if a=(b+c)costheta, then prove that sintheta

29. Solve 7sin^2theta+3cos^2theta=4

30. Solve 2x-y+3z=8, -x+2y+z=4,3x+y-4z=0 by using Matrix inversion

Maths 1B:

1. If the distance from P to the points (2,3)&(2,-3) are in the ratio 2:3, then

2. A straight line with slope 1 passes through Q(-3,5) and meets the straight line

3. A(5,3)&B(3,-2)are 2 fixed points. Find the equation

4. If P & Q are the lengths of perpendiculars from the origin to

5. lf Q(h,k) is the image of the point P(x1,y1) with

6. Find the circumcenter of the triangle whose vertices are (-2,3

7. Show that the pair of straight lines 6x^2-5xy-6y^2=0 form a square

8. A(1,2),B(2,-3) and C(-2,3) are 3 points. A point P moves

9. Find the derivative of tan2x from the first principle

10. Transform the equation 4x-3y+12=0 into intercept form

11. Show that the lines 2x+y-3=0,3x+2y-2=0 and 2x-3y-23=0 are concyclic

12. Find the derivative of f(x)=sin2x using the First principle

13. When the origin is shifted to (-1,2) by the translation of axe

14. Find the angle between the lines whose direction cosines

15. Find the equation of tangent and normal to the curve y=x^3+4x^2

16. If y=x^(tanx)+(sinx)^cosx, find dy/dx

17. If the tangent at any point on the curve x^(2/3)+y^(2/3)=a^

18. If ax+by+c=0,bx+cy+a=0,cx+ay+b=0 are concurrent

19. When the origin is shifted to the point (3,-4) & transformed

20. A triangle of area 24sq.units is formed by a straight line

21. Show that the curves 6x^2-5x+2y=0 and 4x^2+8y^2=3