Exemplar Solution

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Onthez-axis,x=0andy=0.\\ \therefore Therequiredcoordinateisintheformof\left(0,0,z\right).\\ Hence,thevalueofthefilleris\left(0,0,z\right).\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Theequationofyz-planeisx=0.\\ Hence,thevalueofthefillerisx=0.\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Weknowthatyzplane,x=0\\ So,thecoordinatesoftherequired\text{\hspace{0.17em}point}is\left(0,y,z\right).\\ Hence,thevalueofthefilleris\left(0,y,z\right).\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Eight.\\ Hence,thevalueofthefilleriseight.\end{array}$

This is a matching answer type question as classified in NCERT Exemplar

$\begin{array}{l}\left(a\right)Inxy-plane,z-coordinateiszero.\\ Hence,\left(a\right)\leftrightarrow \left(iii\right).\\ \left(b\right)Thepoint\left(2,3,4\right)liesinfirstoctant.\\ Hence,\left(b\right)\leftrightarrow \left(i\right).\\ \left(c\right)Locusofthepointswithx-coordinateiszeroisyz-plane.\\ Hence,\left(c\right)\leftrightarrow \left(ii\right).\\ \left(d\right)Alineisparalleltox-axisifandonlyifallthepointsontheline\\ haveequalyandz-coordinates.\\ Hence,\left(d\right)\leftrightarrow \left(vi\right).\\ \left(e\right)x=0,y=0representsz-axis.\\ Hence,\left(e\right)\leftrightarrow \left(iv\right).\\ \left(f\right)z=crepresentaplaneparalleltoxy-plane.\\ Hence,\left(f\right)\leftrightarrow \left(v\right).\\ \left(g\right)Theplanesx=a,y=brepresentthelineparalleltoz-axis.\\ Hence,\left(g\right)\leftrightarrow \left(viii\right).\\ \left(h\right)Coordinatesofapointarethedistancesfromtheorigintothefeetofperpendicularfrom\\ thepointontherespectiveaxes,\\ Hence,\left(h\right)\leftrightarrow \left(vii\right).\\ \left(i\right)Aballissolidregioninthespaceenclosedbyasphere.\\ Hence,\left(i\right)\leftrightarrow \left(x\right).\\ \left(j\right)Theregionintheplaneenclosedbyacircleisknownasadisc.\\ Hence,\left(i\right)\leftrightarrow \left(ix\right).\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Give\mathrm{npoints}\\ Hence,thevalueofthefillerisgiven.\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Threepairs.\\ Hence,thevalueofthefilleristhreepairs.\end{array}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}ThethreeaxesOX,OYandOZ\text{\hspace{0.17em}determine}threecoordinateplanes.\\ Hence,thefillervalueisthreecoordinateplanes.\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Weknowthatonx-axis,y=0andz=0.\\ So,therequiredcoordinatesare\left(3,0,0\right).\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Weknowthatonxyplane,z=0\\ So,thecoordinatesofthe\text{\hspace{0.17em}point}Lare\left(3,4,0\right).\\ Hence,thecorrectoptionis\left(d\right).\end{array}$