Home
Class 12
MATHS
[" 19.In a right triangle "ABC" ,fight a...

[" 19.In a right triangle "ABC" ,fight angled at "B,D" is a "],[" point on hypotenuse such that "],[qquad BD perp AC." If "DP perp AB" and "DQ perp BC" then prove that "],[" a) "DQ^(2)=DP.QCquad " b) "DP^(2)=DQ.AP]

Promotional Banner

Similar Questions

Explore conceptually related problems

In a right tringle ABC, right-angled at B, D is a point on hypotenuse such that BD bot AC . If DP bot AB and DQ bot BC then prove that (a) DQ^(2)=DP*QC" " DP^(2)=DQ*AP .

In ABC, if BD perp AC and BC^(2)=2ACCD, then prove that AB=AC .

Q.in fig DB perp BC,DE perp AB and AC perp BC prove that (BE)/(DE)=(AC)/(BC)

ABC is a triangle right angled at B.D is a point on AC such that /_ABD=45^(@) If AC=6 and AD=2 then AB=

In Fig.4.121,ABC is a right triangle right angled at B and D is the foot ot the the perpendicular drawn from B on AC .If DM perp BC and DN perp AB ,prove that: (FIGURE) DM ^(2)=DN xx MC( ii) DN^(2)=DM xx AN

Fig.4.134,ABC is a right triangle right angled at B and D is the foot of the wedicular dnem from Ben AC. If DM perp BC and DN perp AB, prove that ( i )DM^(2)=DN xx MC( ii) DN^(2)=DM xx AN

PQR is a triangle right angled at P and M is a point on QR such that PM perp QR Show that PM^(2)=QM.MR

In Fig, D is a point on hypotenuse AC of Delta ABC , such that BD bot AC , DM bot BC and DN bot AB .Prove that :- DN^2=DM.AN

In Fig.4.145, if AB perp BC,DC perp BC and DE perp AC, prove that CEDABC. (FIGURE)

In ABC, if AD perp BC and AD^(2)=BD xx DC, prove that /_BAC=90o