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In a triangle O A B ,/A O B=90^0dot If P...

In a triangle `O A B ,/_A O B=90^0dot` If `P` and `Q` are points of trisection of `A B ,` prove that `O P^2+O Q^2=5/9A B^2`

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In a triangle O A B ,\ /_A O B=90^0dot If P\ a n d\ Q are points of trisection of A B prove that O P^2+O Q^2=5/9A B^2dot

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /_A\ a n d\ /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a triangle A B C ,/_A B C=/_A C B and the bisectors of /_A B C and /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0

In a triangle A B C ,\ /_A B C=\ /_A C B and the bisectors of /_A B C\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

In a quadrilateral A B C D ,C O and D O are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

A point O in the interior of a rectangle A B C D is joined with each of the vertices A ,\ B ,\ C and D . Prove that O B^2+O D^2=O C^2+O A^2

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
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  15. Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and ve...

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  19. Find the projection of vec b+ vec c on vec a , where vec a = 2 hat ...

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